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Finding the Fourth Proportional to 80.53, 110.96 and 54.61

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Solution

The fourth proportional to 80.53, 110.96 and 54.61 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 110.96 = 54.61 : x
  2. Step 2: Convert to fraction form
    80.53/110.96 = 54.61/x
  3. Step 3: Cross multiply
    80.53x = 110.96 × 54.61
  4. Step 4: Simplify right side
    80.53x = 6,058.98
  5. Step 5: Solve for x
    x = 6,058.98/80.53
  6. Step 6: Final answer
    x = 75.24

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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.