Finding the Fourth Proportional to 76.26, 114.24 and 58.26
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Solution
The fourth proportional to 76.26, 114.24 and 58.26 is: 87.28
Step by Step Solution
- Step 1: Write the proportion equation
76.26 : 114.24 = 58.26 : x - Step 2: Convert to fraction form
76.26/114.24 = 58.26/x - Step 3: Cross multiply
76.26x = 114.24 × 58.26 - Step 4: Simplify right side
76.26x = 6,655.62 - Step 5: Solve for x
x = 6,655.62/76.26 - Step 6: Final answer
x = 87.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.