Determine if $33, 44, 75, 100$ are in proportion.

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Solution

If $33, 44, 75, 100$ are in proportion, then
Product of extremes $=$ Product of means
$\begin{array}{rcl} 33 \times 100 & = & 44 \times 75 \\ 3300 & = & 3300 \\ ∵ LHS & = & RHS \end{array}$
Hence, $33, 44, 75, 100$ are in proportion

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