Question

42:72::30:_ find the analogy ​

Answer 1

Step-by-step explanation:

$42 : 72 : : 30 : x \\ 42 : 72 = 30 : x \\ \frac{42}{72} = \frac{30}{x} \\ 42x = 30 \times 72 \\ x = \frac{ _{5 \: \: } \cancel{30} \times 72}{ \cancel{42}_{ \: \: 7}} \\ \large{ \boxed{ x = \underline{ \underline{ \frac{360}{7}} }}}\\ \\ \large{ \underline{ \bf{Verification}} :} \\ 42 : 72 = 30 : x \\ \frac{42}{72} = (30 \div \frac{360}{7}) \\ \frac{_{7 \: \: } \cancel{42}}{_{12 \: \: } \cancel{72}} = \: _{1 \: \: } \cancel{30} \times \frac{7}{ \cancel{360}_{ \: \: 12} } \\ \large{ \boxed{ \underline{ \underline{\frac{7}{12} = \frac{7}{12} }}}} \\ \\ \large{ \bf{Verified}}$