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Finding the Fourth Proportional to 80.66, 120.66 and 54.86

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Solution

The fourth proportional to 80.66, 120.66 and 54.86 is: 82.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 120.66 = 54.86 : x
  2. Step 2: Convert to fraction form
    80.66/120.66 = 54.86/x
  3. Step 3: Cross multiply
    80.66x = 120.66 × 54.86
  4. Step 4: Simplify right side
    80.66x = 6,618.80
  5. Step 5: Solve for x
    x = 6,618.80/80.66
  6. Step 6: Final answer
    x = 82.06

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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.