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Finding the Fourth Proportional to 69.71, 104.15 and 52.29

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Solution

The fourth proportional to 69.71, 104.15 and 52.29 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.71 : 104.15 = 52.29 : x
  2. Step 2: Convert to fraction form
    69.71/104.15 = 52.29/x
  3. Step 3: Cross multiply
    69.71x = 104.15 × 52.29
  4. Step 4: Simplify right side
    69.71x = 5,446.00
  5. Step 5: Solve for x
    x = 5,446.00/69.71
  6. Step 6: Final answer
    x = 78.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.