Q22. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{1}{0.19}=\frac{12}{n}$

Step-by-Step Solution

Answer

The value of $n=\text{2.28}$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$$\begin{gathered} \frac{1}{0.19}=\frac{12}{n} \\ n\left(1\right)=\left(12\right)0.19 \end{gathered}$$

Step-3. Simplify for n

To further simplify, divide each side by 1.

$$\begin{gathered} n\left(1\right)=\left(12\right)0.19 \\ n=\text{2.28} \end{gathered}$$

Therefore, the value of $n=\text{2.28}$.