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Finding the Fourth Proportional to 87.12, 119.48 and 84.29

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Solution

The fourth proportional to 87.12, 119.48 and 84.29 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.12 : 119.48 = 84.29 : x
  2. Step 2: Convert to fraction form
    87.12/119.48 = 84.29/x
  3. Step 3: Cross multiply
    87.12x = 119.48 × 84.29
  4. Step 4: Simplify right side
    87.12x = 10,069.95
  5. Step 5: Solve for x
    x = 10,069.95/87.12
  6. Step 6: Final answer
    x = 115.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.