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Finding the Fourth Proportional to 101.92, 140.64 and 63.12

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Solution

The fourth proportional to 101.92, 140.64 and 63.12 is: 87.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 140.64 = 63.12 : x
  2. Step 2: Convert to fraction form
    101.92/140.64 = 63.12/x
  3. Step 3: Cross multiply
    101.92x = 140.64 × 63.12
  4. Step 4: Simplify right side
    101.92x = 8,877.20
  5. Step 5: Solve for x
    x = 8,877.20/101.92
  6. Step 6: Final answer
    x = 87.10

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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.