Question

the first ,second and third term of the proportion are 117,13,81 respectively. What will be the fourth term​

Answer 1

$\mathfrak{ \large{ \purple{ \underline{ \green{Correct \: Question: }}}}}$

The first ,second and third term of the proportion are 117,13,81 respectively. What will be the fourth term

$\mathfrak{ \large{ \purple{ \underline{ \green{Given : }}}}}$

• First term = 117
• Second term = 13
• Third term = 81

$\mathfrak{ \large{ \purple{ \underline{ \green{To \: Find:}}}}}$

• Fourth term

$\mathfrak{ \large{ \purple{ \underline{ \green{ Solution: }}}}}$

• Let the fourth term be x

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: \: \: \: 117 : 13 : : 81 : x}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: \: \: \: \frac{117}{13} = \frac{81}{x}}$

After cross multiplication,

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: \: \: \:117 \times x = 81 \times 13}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: \: \: \:x = \frac{81 \times 13}{117}}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: \: \: \boxed{ \purple{ \mathfrak{x = 9}}}}$

$\mathfrak{ \large{ \purple{ \underline{ \green{Hence:}}}}}$

• The fourth term is 9.

Answer 2

Answer:

Step-by-step explanation: