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Finding the Fourth Proportional to 87.64, 120.96 and 70.12

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Solution

The fourth proportional to 87.64, 120.96 and 70.12 is: 96.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.64 : 120.96 = 70.12 : x
  2. Step 2: Convert to fraction form
    87.64/120.96 = 70.12/x
  3. Step 3: Cross multiply
    87.64x = 120.96 × 70.12
  4. Step 4: Simplify right side
    87.64x = 8,481.72
  5. Step 5: Solve for x
    x = 8,481.72/87.64
  6. Step 6: Final answer
    x = 96.78

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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.