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Finding the Fourth Proportional to 69.57, 104.24 and 52.38

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Solution

The fourth proportional to 69.57, 104.24 and 52.38 is: 78.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 104.24 = 52.38 : x
  2. Step 2: Convert to fraction form
    69.57/104.24 = 52.38/x
  3. Step 3: Cross multiply
    69.57x = 104.24 × 52.38
  4. Step 4: Simplify right side
    69.57x = 5,460.22
  5. Step 5: Solve for x
    x = 5,460.22/69.57
  6. Step 6: Final answer
    x = 78.49

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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.