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Finding the Fourth Proportional to 87.30, 129.98 and 80.46

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Solution

The fourth proportional to 87.30, 129.98 and 80.46 is: 119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.30 : 129.98 = 80.46 : x
  2. Step 2: Convert to fraction form
    87.30/129.98 = 80.46/x
  3. Step 3: Cross multiply
    87.30x = 129.98 × 80.46
  4. Step 4: Simplify right side
    87.30x = 10,458.39
  5. Step 5: Solve for x
    x = 10,458.39/87.30
  6. Step 6: Final answer
    x = 119.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.