What is the fourth proportional of 21, 56 and 27?
The correct answer is 72.
Let's simplify by dividing 56 and 21 by 7: $$ x = \frac{(56 \div 7) \times 27}{(21 \div 7)} $$ $$ x = \frac{8 \times 27}{3} $$ Now, we can divide 27 by 3: $$ x = 8 \times \frac{27}{3} $$ $$ x = 8 \times 9 $$ Finally, perform the multiplication: $$ x = 72 $$ The calculation shows that the fourth proportional of 21, 56, and 27 is 72. This means the proportion holds true: $21:56::27:72$, as $\frac{21}{56} = \frac{3}{8}$ and $\frac{27}{72} = \frac{3}{8}$. Therefore, the correct option is 72.
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