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Finding the Fourth Proportional to 102.29, 141.10 and 77.68

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Solution

The fourth proportional to 102.29, 141.10 and 77.68 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 141.10 = 77.68 : x
  2. Step 2: Convert to fraction form
    102.29/141.10 = 77.68/x
  3. Step 3: Cross multiply
    102.29x = 141.10 × 77.68
  4. Step 4: Simplify right side
    102.29x = 10,961.57
  5. Step 5: Solve for x
    x = 10,961.57/102.29
  6. Step 6: Final answer
    x = 107.16

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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.