Check if the following ratios are in proportion. Also, write the middle terms and extreme terms when ratios are in proportion.
$45 l : 55 l : : 9 p e n s : 11 p e n s$

Open in App

Solution

Step-1: write $a, b, c a n d d$ from $45 l : 55 l : : 9 p e n s : 11 p e n s$ as it is written in the form of $a : b : : c : d$
Here, $a = 45 l$ $b = 55 l$ $c = 9 p e n s$ $d = 11 p e n s$
Step-2: Write $a, b, c a n d d$ in the form of $\frac{a}{b} a n d \frac{c}{d}$ and simplify it
$\frac{a}{b} = \frac{45}{55}$ ( Simplify $\frac{45}{55}$ by taking a common factor $5$ in numerator and denominator separately )
$\frac{a}{b} = \frac{9}{11}$
Now, $\frac{c}{d} = \frac{9}{11}$
Step-4: Check whether $\frac{a}{b} = \frac{c}{d}$ or $n o t$
yes, $\frac{a}{b} = \frac{c}{d}$ or $\frac{9}{11} = \frac{9}{11}$
Hence, $45 l : 55 l : : 9 p e n s : 11 p e n s$ are in proportion.
Step-5: Write middle terms and extreme terms
$m i d d l e t e r m s : -$ $b = 55 l$ and $c = 9 p e n s$
$E x t r e m e t e r m s : -$ $a = 45 l$ and $d = 11 p e n s$
Hence, $45 l : 55 l : : 9 p e n s : 11 p e n s$ are in proportion and $m i d d l e t e r m s : -$ $b = 55 l$ $c = 9 p e n s$ $E x t r e m e t e r m s : -$ $a = 45 l$ and $d = 11 p e n s$

Suggest Corrections

Similar questions

Check if the following ratios are in proportion. Also, write the middle terms and extreme terms when ratios are in proportion.

$50 c m : 2 m : : ₹ 150 : ₹ 600$

2 k g; 80 k g

25 g; 625 g

9 l i t r e s; 15 l i t r e s

6 b o t t l e s; 10 b o t t l e s

39

65

6

10

Join BYJU'S Learning Program