1. **State the problem:** We need to find the value of $x$ using ratios. 2. **Understand ratios:** A ratio compares two quantities and can be written as $\frac{a}{b} = \frac{c}{d}$, where $a$, $b$, $c$, and $d$ are numbers. 3. **Set up the equation:** Suppose the problem gives a ratio involving $x$, for example, $\frac{x}{k} = \frac{m}{n}$, where $k$, $m$, and $n$ are known values. 4. **Use cross multiplication:** Multiply both sides to get rid of the fractions: $$x \times n = k \times m$$ 5. **Solve for $x$:** Divide both sides by $n$: $$x = \frac{k \times m}{n}$$ 6. **Show cancellation if applicable:** If any factors cancel, show it as: $$x = \frac{\cancel{k} \times m}{\cancel{n}}$$ 7. **Final answer:** Substitute the known values and calculate $x$. Since the problem does not provide specific numbers, this is the general method to find $x$ using ratios.