How to Solve Proportions in Mathematics

What is the solution to the proportion?

Round the answer to the nearest tenth if necessary.

52 9.5 Х - 3.25 X= 14,6 OX= 17.8 O X= 157.8 O X= 169.0

Answer:

The solution to the proportion is X = 17.8

Solving proportions in mathematics can sometimes be tricky, but with the right approach, it can become easier to understand and solve. In this case, we were given the proportion 52/9.5 = X/3.25. To find the value of X, we need to follow certain steps:

Setting up the proportion:

First, we need to set up the proportion based on the given data. In this case, we have 52/9.5 = X/3.25. This is the foundation for solving the proportion.

Cross-multiplying:

Next, we cross-multiply the fractions to eliminate the denominators. By multiplying 52 by 3.25 and X by 9.5, we simplify the equation to 169 = X*9.5.

Solving for X:

Finally, to find the value of X, we need to isolate X by dividing both sides of the equation by 9.5. After performing the calculation, we arrive at X = 17.8 as the final answer.

Understanding the steps involved in solving proportions can help you tackle similar mathematical problems with confidence and accuracy. Remember to always follow a systematic approach and pay attention to details to arrive at the correct solution.