Verified Answer :

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\(\frac{48}{120}=\frac{x}{100} \\ 120x=48 \times 100 \\ x=\frac{48 \times 100}{120} \\ x=\frac{48 \times 100}{12 \times 10} \\ x=4 \times 10 \\ x=40\)

\(\frac{48}{120}=\frac{x}{100}\ \ \ \ \ |\frac{48}{120}=\frac{48:6}{120:6}=\frac{8}{40}=\frac{8:4}{20:4}=\frac{2}{5}\\\\\frac{2}{5}=\frac{x}{100}\ \ \ \ |cross\ multiply\\\\5(x)=2(100)\\\\5x=200\ \ \ \ |divide\ both\ sdies\ by\ 5\\\\\boxed{x=40}\)

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