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Finding the Fourth Proportional to 69.47, 104.09 and 32.87

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Solution

The fourth proportional to 69.47, 104.09 and 32.87 is: 49.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.47 : 104.09 = 32.87 : x
  2. Step 2: Convert to fraction form
    69.47/104.09 = 32.87/x
  3. Step 3: Cross multiply
    69.47x = 104.09 × 32.87
  4. Step 4: Simplify right side
    69.47x = 3,420.75
  5. Step 5: Solve for x
    x = 3,420.75/69.47
  6. Step 6: Final answer
    x = 49.24

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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.