Probability of Pet Ownership

In a certain town, the number of pet dogs is known to be three times the number of pet cats. If a random survey of pet owners reveals that 60% of pet owners own dogs, and the remaining pet owners own cats, what is the probability that a randomly selected pet owner from this town owns a dog?

Let the number of pet cats be represented by the variable $c$. Therefore, the number of pet dogs would be $3c$. The total number of pet owners can be found by adding the number of pet cats and pet dogs: $c + 3c = 4c$. Hence, the proportion of pet owners who own dogs can be expressed as:

$ ext{Probability of owning a dog} = \f\frac{\text{Number of dogs}}{\text{Total number of pets}} = \f\frac{3c}{4c}$

What is the probability that a randomly selected pet owner owns a dog, expressed as a decimal to the nearest hundredth?