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.