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Finding the Fourth Proportional to 69.59, 104.31 and 52.38

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Solution

The fourth proportional to 69.59, 104.31 and 52.38 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.59 : 104.31 = 52.38 : x
  2. Step 2: Convert to fraction form
    69.59/104.31 = 52.38/x
  3. Step 3: Cross multiply
    69.59x = 104.31 × 52.38
  4. Step 4: Simplify right side
    69.59x = 5,463.76
  5. Step 5: Solve for x
    x = 5,463.76/69.59
  6. Step 6: Final answer
    x = 78.51

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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.