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Finding the Fourth Proportional to 102.97, 142.11 and 61.52

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Solution

The fourth proportional to 102.97, 142.11 and 61.52 is: 84.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.97 : 142.11 = 61.52 : x
  2. Step 2: Convert to fraction form
    102.97/142.11 = 61.52/x
  3. Step 3: Cross multiply
    102.97x = 142.11 × 61.52
  4. Step 4: Simplify right side
    102.97x = 8,742.30
  5. Step 5: Solve for x
    x = 8,742.30/102.97
  6. Step 6: Final answer
    x = 84.91

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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.