Find x if 48, 60, 68 and x are in proportion.
Answers
Answer:
Answer :-
The value of x is 85
\textbf{\underline{\underline{Explanation :-}}}
Explanation :-
Given :
The numbers = 48,60,68 and X
To find :
The value of X
Solution :
Proportion = 48 : 60 : 68 : X
\star⋆ As we know :
\boxed{\sf{Mean \times Mean \: terms\: = Extreme \times Extreme \: terms}}
Mean×Meanterms=Extreme×Extremeterms
Here,
Mean Terms = 60 and 68
Extreme Terms = 48 and X
\sf{\implies68 \times 60 = 48 \times x}⟹68×60=48×x
\sf{\implies4080 = 48x}⟹4080=48x
\sf{\implies \: x = \dfrac{4080}{48} }⟹x=
48
4080
\sf{\implies \: x = 85}⟹x=85
\boxed{\sf{\bigstar \: {x = 85}}}
★x=85
\therefore∴ The value of x is 85
\textbf{\underline{\underline{Verification :-}}}
Verification :-
\sf{\implies68 \times 60 = 48 \times 85}⟹68×60=48×85
\sf{\implies4080=4080}⟹4080=4080
When we placed the value of x (85) we got the required answer 4080 which proves that x = 85
\therefore∴ The value of x is 85
Answer:
- 85
Step-by-step explanation:
Given
- 48 : 60 : 68 : x
To find
- x
Solution
Product of means = Product of extremes
- 48 × x = 60 × 68
- 48x = 4080
- x = 4080/48
- x = 85
Hence, the value of x is 85.
Verification
- Product of means = Product of extremes
- 48 × 85 = 60 × 68
- 4080 = 4080
- L.H.S = R.H.S