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The given equation is:

\[
115 = k(25)
\]

This represents a direct variation where \( k \) is the constant of proportionality. To find \( k \), we need to solve for \( k \):

\[
k = \frac{115}{25}
\]

Let's calculate that:

\[
k = \frac{115}{25} = 4.6
\]

Thus, the constant of proportionality \( k \) is **4.6**.

Would you like more details or have any other questions?

Here are five related questions to expand on this concept:

1. How do you interpret the constant of proportionality in a real-world problem?
2. What are the units of the constant of proportionality if we are given units for 115 and 25?
3. Can you graph a direct variation relationship, and what does the slope represent in this case?
4. How would the equation change if the value of \( 115 \) were doubled?
5. How does solving for \( k \) differ in inverse variation problems?

**Tip:** In any proportional relationship, the constant \( k \) remains the same as long as the relationship between the variables doesn't change.

Find the constant of proportionality: 115 = k(25)

Learn how to find the constant of proportionality in the direct variation equation 115 = k(25). The step-by-step solution explains dividing 115 by 25 to solve for k, which equals 4.6. This problem is suitable for students in Grades 6-8 studying algebra and proportionality.

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