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Finding the Fourth Proportional to 75.38, 104.24 and 56.96

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Solution

The fourth proportional to 75.38, 104.24 and 56.96 is: 78.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 104.24 = 56.96 : x
  2. Step 2: Convert to fraction form
    75.38/104.24 = 56.96/x
  3. Step 3: Cross multiply
    75.38x = 104.24 × 56.96
  4. Step 4: Simplify right side
    75.38x = 5,937.13
  5. Step 5: Solve for x
    x = 5,937.13/75.38
  6. Step 6: Final answer
    x = 78.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.