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Finding the Fourth Proportional to 76.38, 105.87 and 75.24

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Solution

The fourth proportional to 76.38, 105.87 and 75.24 is: 104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 105.87 = 75.24 : x
  2. Step 2: Convert to fraction form
    76.38/105.87 = 75.24/x
  3. Step 3: Cross multiply
    76.38x = 105.87 × 75.24
  4. Step 4: Simplify right side
    76.38x = 7,965.66
  5. Step 5: Solve for x
    x = 7,965.66/76.38
  6. Step 6: Final answer
    x = 104.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.