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Finding the Fourth Proportional to 87.12, 120.20 and 70.78

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Solution

The fourth proportional to 87.12, 120.20 and 70.78 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.12 : 120.20 = 70.78 : x
  2. Step 2: Convert to fraction form
    87.12/120.20 = 70.78/x
  3. Step 3: Cross multiply
    87.12x = 120.20 × 70.78
  4. Step 4: Simplify right side
    87.12x = 8,507.76
  5. Step 5: Solve for x
    x = 8,507.76/87.12
  6. Step 6: Final answer
    x = 97.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.