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Finding the Fourth Proportional to 104.11, 156.27 and 81.53

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Solution

The fourth proportional to 104.11, 156.27 and 81.53 is: 122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.11 : 156.27 = 81.53 : x
  2. Step 2: Convert to fraction form
    104.11/156.27 = 81.53/x
  3. Step 3: Cross multiply
    104.11x = 156.27 × 81.53
  4. Step 4: Simplify right side
    104.11x = 12,740.69
  5. Step 5: Solve for x
    x = 12,740.69/104.11
  6. Step 6: Final answer
    x = 122.38

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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.