Question

1) Find the value of x for which the following ratios are in proportion :x: 48::
18 : 12​

Answer 1

Explanation:

x/48=18/12

12x=48×18

x=48×18/12

x=72

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Answer 2

${\huge{\boxed{\tt{\color {lime}{✿Answer:-}}}}}$

⇾72:48::18:12

${\boxed{\tt{\color {orange}{✿\: Step-\: By-\: Step\: \:Explaination:-\:}}}}$

$\huge \underline \mathfrak\pink{Given:- }$

• x:48::18:12

$\huge \underline \mathfrak\pink{To~Find:- }$

• The value of x.

$\huge \underline \mathfrak\pink{Solution:- }$

• Let the first proportion be x.
• Let 'ad' be the FIRST and the FOURTH proportion, while 'bc' as the SECOND and the THIRD proportion. Then,

${\tt{\color {turquoise}{:⇒ad = bc}}} \\ {\tt{\color {turquoise}{:⇒x \times 12 = 48 \times 18}}} \\ {\tt{\color {turquoise}{:⇒x = ( \frac{48 \times 18}{12}) }}} \\{\tt{\color {turquoise}{:⇒}}} \: {\tt{\boxed{\color {turquoise}{x = 72}}}}$

⇾ So, The value of x is 72.

 

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${\huge{\boxed{\tt{\color {magenta}{✿\: To\: Verify:-}}}}}$

${\tt{\color {turquoise}{:⇒ad = bc}}} \\ {\tt{\color {turquoise}{:⇒72 \times 12 = 48 \times 18}}} \\ {\tt{\color {turquoise}{:⇒864 = 864}}} \\ \\ {\tt{\color {turquoise}{:⇒l.h.s = r.h.s}}} \\ \\ \\ \\ {\tt{\color {turquoise}{:⇒[∴Hence, verified✔]}}}$

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${\tt{\color {plum}{✿\: ~Thanx\:}}}$

${\tt{\color {purple}{You\:}}}$${\tt{\color {plum}{Very\:}}}$${\tt{\color {purple}{Much!\:}}}$

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