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Finding the Fourth Proportional to 80.38, 120.05 and 68.20

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Solution

The fourth proportional to 80.38, 120.05 and 68.20 is: 101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.38 : 120.05 = 68.20 : x
  2. Step 2: Convert to fraction form
    80.38/120.05 = 68.20/x
  3. Step 3: Cross multiply
    80.38x = 120.05 × 68.20
  4. Step 4: Simplify right side
    80.38x = 8,187.41
  5. Step 5: Solve for x
    x = 8,187.41/80.38
  6. Step 6: Final answer
    x = 101.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.