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Finding the Fourth Proportional to 75.56, 104.31 and 54.90

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Solution

The fourth proportional to 75.56, 104.31 and 54.90 is: 75.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.56 : 104.31 = 54.90 : x
  2. Step 2: Convert to fraction form
    75.56/104.31 = 54.90/x
  3. Step 3: Cross multiply
    75.56x = 104.31 × 54.90
  4. Step 4: Simplify right side
    75.56x = 5,726.62
  5. Step 5: Solve for x
    x = 5,726.62/75.56
  6. Step 6: Final answer
    x = 75.79

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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.