Finding the Fourth Proportional to 75.26, 112.86 and 34.70
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Solution
The fourth proportional to 75.26, 112.86 and 34.70 is: 52.04
Step by Step Solution
- Step 1: Write the proportion equation
75.26 : 112.86 = 34.70 : x - Step 2: Convert to fraction form
75.26/112.86 = 34.70/x - Step 3: Cross multiply
75.26x = 112.86 × 34.70 - Step 4: Simplify right side
75.26x = 3,916.24 - Step 5: Solve for x
x = 3,916.24/75.26 - Step 6: Final answer
x = 52.04
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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.