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Finding the Fourth Proportional to 102.11, 140.92 and 63.29

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Solution

The fourth proportional to 102.11, 140.92 and 63.29 is: 87.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.11 : 140.92 = 63.29 : x
  2. Step 2: Convert to fraction form
    102.11/140.92 = 63.29/x
  3. Step 3: Cross multiply
    102.11x = 140.92 × 63.29
  4. Step 4: Simplify right side
    102.11x = 8,919.02
  5. Step 5: Solve for x
    x = 8,919.02/102.11
  6. Step 6: Final answer
    x = 87.35

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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.