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Finding the Fourth Proportional to 69.38, 104.12 and 35.16

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Solution

The fourth proportional to 69.38, 104.12 and 35.16 is: 52.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.38 : 104.12 = 35.16 : x
  2. Step 2: Convert to fraction form
    69.38/104.12 = 35.16/x
  3. Step 3: Cross multiply
    69.38x = 104.12 × 35.16
  4. Step 4: Simplify right side
    69.38x = 3,660.95
  5. Step 5: Solve for x
    x = 3,660.95/69.38
  6. Step 6: Final answer
    x = 52.76

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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.