Answer:
Raj's younger sister is 41.2 inches tall.
Explanation:
Given:
Raj is 53.56 inches tall.
He is 1.3 times as tall as his younger sister.
Now, to find the height of Raj's younger sister.
Let the height of Raj's younger sister be
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
And the height of Raj is 53.56 inches.
Now, to get the height of Raj's younger sister we solve an equation:
![1.3\ of\ x=53.56\\\\1.3* x=53.56\\\\Dividing\ both\ sides\ by\ 1.3\ we\ get:\\\\x=41.2\ inches.](https://img.qammunity.org/2021/formulas/mathematics/high-school/femu82xf9z1ymvsq2k1sbw5rqapqeovqi4.png)
Therefore, Raj's younger sister is 41.2 inches tall.