Question

Determine if the following are in proportion: $33,44,75,100$

Answer 1

We have,

$33,44,75,100$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}33\mathrm{and}44& =& \frac{33}{44}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}11\\ & =& \frac{3}{4}\\ & =& 3:4\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}75\mathrm{and}100& =& \frac{75}{100}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}25\\ & =& \frac{3}{4}\\ & =& 3:4\end{array}$

Since, $33:44=75:100$

Hence, $33,44,75,100$ are in proportion.