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Finding the Fourth Proportional to 104.13, 155.89 and 75.15

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Solution

The fourth proportional to 104.13, 155.89 and 75.15 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.13 : 155.89 = 75.15 : x
  2. Step 2: Convert to fraction form
    104.13/155.89 = 75.15/x
  3. Step 3: Cross multiply
    104.13x = 155.89 × 75.15
  4. Step 4: Simplify right side
    104.13x = 11,715.13
  5. Step 5: Solve for x
    x = 11,715.13/104.13
  6. Step 6: Final answer
    x = 112.50

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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.