# if 16,24,z,54are in proportion then z =

$\mathrm{Given}16,24,\mathrm{z},54\mathrm{are}\mathrm{in}\mathrm{proportion}.\mathrm{So},\phantom{\rule{0ex}{0ex}}\frac{16}{24}=\frac{\mathrm{z}}{54}\phantom{\rule{0ex}{0ex}}\Rightarrow \mathrm{z}=\frac{16\times 54}{24}\phantom{\rule{0ex}{0ex}}\Rightarrow \mathbf{z}\mathbf{=}\mathbf{36}$

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