Question

Determine if the following are in proportion $33,121,9,96$

Answer 1

We have,

$33,121,9,96$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}33\mathrm{and}121& =& \frac{33}{121}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}11\\ & =& \frac{3}{11}\\ & =& 3:11\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}9\mathrm{and}96& =& \frac{9}{96}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}3\\ & =& \frac{3}{32}\\ & =& 3:32\end{array}$

Since, $33:121\ne 9:96$

Hence, $33,121,9,96$ are not in proportion.