1.08 /x :0.06 = 2:3
You asked:
Solve \(\frac{1.08}{x} : 0.06=2 : 3\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= 27\end{aligned}$$
Express both ratios as fractions. \[\frac{\frac{27}{25} \cdot \frac{1}{x}}{\frac{3}{50}} = \frac{2}{3}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{\frac{27}{25} \cdot \frac{1}{x}}{\frac{3}{50}} &= \frac{2}{3} \\ \frac{81}{25 x} &= \frac{3}{25} \\ x &&= 27 \end{aligned}$$