Question

Use equivalent ratios to solve the proportion.

$\frac{x}{2}=\frac{20}{10}$

Short answer

The solution is $x=4$.

Step-by-step solution

Step-1 – Given

The given proportion is$\frac{x}{2}=\frac{20}{10}$.

Step-2 – To determine

We have to solve the proportion by using equivalent ratios.

Step-3 – Calculation 

Solve the given equation.

$\begin{array}{c}\frac{x}{2}=\frac{20}{10}\\ \frac{x}{2\times 5}=\frac{20}{10}\left[\text{comparedenominators}\right]\\ \frac{x\times 5}{10}=\frac{20}{10}\left[\text{find}x\right]\\ 5x=20\\ 5x÷5=20÷5\left[\text{divideeachsideby5}\right]\\ x=4\end{array}$

So, the solution is $x=4$.