1. **Stating the problem:** We are given pairs of numbers connected by arrows: 90 \rightarrow 60, 30 \rightarrow 30, 18 \rightarrow 22, 12 \rightarrow 0, and a horizontal line with 100 on the left and 102 on the right. We want to understand the relationship between the left and right numbers and predict the value corresponding to 100. 2. **Analyzing the pairs:** Let's denote the left number as $x$ and the right number as $y$. The pairs are $(90,60)$, $(30,30)$, $(18,22)$, $(12,0)$. We want to find a function or pattern $y=f(x)$. 3. **Checking differences:** Calculate $y - x$ for each pair: - For $90 \rightarrow 60$: $60 - 90 = -30$ - For $30 \rightarrow 30$: $30 - 30 = 0$ - For $18 \rightarrow 22$: $22 - 18 = 4$ - For $12 \rightarrow 0$: $0 - 12 = -12$ No clear constant difference. 4. **Checking ratios:** Calculate $\frac{y}{x}$ for each pair (where $x \neq 0$): - $\frac{60}{90} = \frac{2}{3} \approx 0.666$ - $\frac{30}{30} = 1$ - $\frac{22}{18} \approx 1.222$ - $\frac{0}{12} = 0$ No consistent ratio either. 5. **Observing the horizontal line:** The line shows $100$ on the left and $102$ on the right, suggesting a small increase of 2 units. Possibly the right side values are related to the left side values plus or minus some adjustment. 6. **Hypothesis:** The right number might be a function of the left number plus some offset or transformation. Since the pairs do not follow a simple linear or proportional pattern, more context is needed to define the exact function. 7. **Answer:** Without additional information, the best estimate for the value corresponding to $100$ on the right side, given the horizontal line from $100$ to $102$, is $102$. **Final answer:** The value corresponding to $100$ on the right side is $102$.