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Finding the Fourth Proportional to 80.64, 120.77 and 54.56

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Solution

The fourth proportional to 80.64, 120.77 and 54.56 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.64 : 120.77 = 54.56 : x
  2. Step 2: Convert to fraction form
    80.64/120.77 = 54.56/x
  3. Step 3: Cross multiply
    80.64x = 120.77 × 54.56
  4. Step 4: Simplify right side
    80.64x = 6,589.24
  5. Step 5: Solve for x
    x = 6,589.24/80.64
  6. Step 6: Final answer
    x = 81.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.