Question

42:56::110:?
Explain it

Answer 1

a:b::c:d can be written as
a/b=c/d
now putting values,
a=42,b=56,c=110,d=?
now,
42÷56=110÷d
d=110×56/42=110×4/3=440/3.
hope it helps . please mark this as brainliest answer.

Answer 2

Answer:  The required number is $\dfrac{440}{3}.$

Step-by-step explanation:  We are given to fill the blank in the following proportion :

$42:56::110:?$

Let the required number be x.

We know that for any four numbers a, b, c and d

$a:b::c:d\\\\\Rightarrow \dfrac{a}{b}=\dfrac{c}{d}.$

Therefore, we have

$42:56::110:x\\\\\\\Rightarrow \dfrac{42}{56}=\dfrac{110}{x}\\\\\\\Rightarrow x=\dfrac{110\times56}{42}\\\\\\\Rightarrow x=\dfrac{440}{3}.$

Thus, the required number is  $\dfrac{440}{3}.$