1 : n = 48 : 144
You asked:
Solve \(1 : n=48 : 144\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 3\end{aligned}$$
Express both ratios as fractions. \[\frac{1}{n} = \frac{48}{144}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{1}{n} &= \frac{48}{144} \\ 144 &= 48 n \\ n &&= 3 \end{aligned}$$