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Finding the Fourth Proportional to 80.57, 120.83 and 29.21

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Solution

The fourth proportional to 80.57, 120.83 and 29.21 is: 43.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.57 : 120.83 = 29.21 : x
  2. Step 2: Convert to fraction form
    80.57/120.83 = 29.21/x
  3. Step 3: Cross multiply
    80.57x = 120.83 × 29.21
  4. Step 4: Simplify right side
    80.57x = 3,528.69
  5. Step 5: Solve for x
    x = 3,528.69/80.57
  6. Step 6: Final answer
    x = 43.80

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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.