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Finding the Fourth Proportional to 69.38, 104.14 and 39.02

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Solution

The fourth proportional to 69.38, 104.14 and 39.02 is: 58.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.38 : 104.14 = 39.02 : x
  2. Step 2: Convert to fraction form
    69.38/104.14 = 39.02/x
  3. Step 3: Cross multiply
    69.38x = 104.14 × 39.02
  4. Step 4: Simplify right side
    69.38x = 4,063.54
  5. Step 5: Solve for x
    x = 4,063.54/69.38
  6. Step 6: Final answer
    x = 58.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.