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Finding the Fourth Proportional to 80.46, 110.96 and 55.85

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Solution

The fourth proportional to 80.46, 110.96 and 55.85 is: 77.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.46 : 110.96 = 55.85 : x
  2. Step 2: Convert to fraction form
    80.46/110.96 = 55.85/x
  3. Step 3: Cross multiply
    80.46x = 110.96 × 55.85
  4. Step 4: Simplify right side
    80.46x = 6,197.12
  5. Step 5: Solve for x
    x = 6,197.12/80.46
  6. Step 6: Final answer
    x = 77.02

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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.