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Finding the Fourth Proportional to 104.03, 156.14 and 75.17

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Solution

The fourth proportional to 104.03, 156.14 and 75.17 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.03 : 156.14 = 75.17 : x
  2. Step 2: Convert to fraction form
    104.03/156.14 = 75.17/x
  3. Step 3: Cross multiply
    104.03x = 156.14 × 75.17
  4. Step 4: Simplify right side
    104.03x = 11,737.04
  5. Step 5: Solve for x
    x = 11,737.04/104.03
  6. Step 6: Final answer
    x = 112.83

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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.