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Finding the Fourth Proportional to 103.11, 142.31 and 61.69

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Solution

The fourth proportional to 103.11, 142.31 and 61.69 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.11 : 142.31 = 61.69 : x
  2. Step 2: Convert to fraction form
    103.11/142.31 = 61.69/x
  3. Step 3: Cross multiply
    103.11x = 142.31 × 61.69
  4. Step 4: Simplify right side
    103.11x = 8,778.39
  5. Step 5: Solve for x
    x = 8,778.39/103.11
  6. Step 6: Final answer
    x = 85.14

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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.