1. **State the problem:** Complete the missing values in the ratio table where the pairs of numbers are proportional.
2. **Understand the ratio:** Each pair of numbers forms a ratio. For example, the first row ratio is $\frac{7}{18}$.
3. **Check the ratio consistency:** Verify that the given pairs maintain the same ratio.
Calculate the ratio for the first row:
$$\frac{7}{18} \approx 0.3889$$
Check the second row:
$$\frac{14}{36} = \frac{7 \times 2}{18 \times 2} = \frac{7}{18}$$
Check the third row:
$$\frac{21}{54} = \frac{7 \times 3}{18 \times 3} = \frac{7}{18}$$
All rows have the same ratio $\frac{7}{18}$.
4. **Find the missing value in the fourth row:** Given the first number is 28, find the second number $x$ such that:
$$\frac{28}{x} = \frac{7}{18}$$
Cross-multiply:
$$28 \times 18 = 7 \times x$$
Simplify:
$$504 = 7x$$
Divide both sides by 7:
$$\cancel{7}72 = \cancel{7}x$$
$$x = 72$$
5. **Find the missing value in the fifth row:** Given the second number is 90, find the first number $y$ such that:
$$\frac{y}{90} = \frac{7}{18}$$
Cross-multiply:
$$18y = 7 \times 90$$
Simplify:
$$18y = 630$$
Divide both sides by 18:
$$\cancel{18}y = \frac{630}{\cancel{18}}$$
$$y = 35$$
6. **Final completed table:**
| 7 | 18 |
| 14 | 36 |
| 21 | 54 |
| 28 | 72 |
| 35 | 90 |
Ratio Table Faad40
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