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Finding the Fourth Proportional to 80.29, 120.33 and 71.29

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Solution

The fourth proportional to 80.29, 120.33 and 71.29 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.29 : 120.33 = 71.29 : x
  2. Step 2: Convert to fraction form
    80.29/120.33 = 71.29/x
  3. Step 3: Cross multiply
    80.29x = 120.33 × 71.29
  4. Step 4: Simplify right side
    80.29x = 8,578.33
  5. Step 5: Solve for x
    x = 8,578.33/80.29
  6. Step 6: Final answer
    x = 106.84

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