48 students own cats.
What is ratio?
"It is relationship between two numbers that describe how many times one value can contain another. "
What is proportion?
"It is an equation in which two ratios are equal."
For given question,
The ratio of students who own a cat to those who own a dog is 4:3
36 students own dogs
Let 'n' number of the students own cats
The ratio of students who own a cat to those who own a dog would be,
n : 36
The ratios 4:3 and n: 36 must be in proportion.
[tex]\Rightarrow \frac{4}{3}= \frac{n}{36}\\\\ \Rightarrow 4\times 36=n\times 3\\\\\Rightarrow n=48[/tex]
Therefore, 48 students own cats.
Learn more about ratio and proportion here:
https://brainly.com/question/26974513
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