Finding the Fourth Proportional to 138.26, 207.11 and 97.74
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Solution
The fourth proportional to 138.26, 207.11 and 97.74 is: 146.41
Step by Step Solution
- Step 1: Write the proportion equation
138.26 : 207.11 = 97.74 : x - Step 2: Convert to fraction form
138.26/207.11 = 97.74/x - Step 3: Cross multiply
138.26x = 207.11 × 97.74 - Step 4: Simplify right side
138.26x = 20,243.18 - Step 5: Solve for x
x = 20,243.18/138.26 - Step 6: Final answer
x = 146.41
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.