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Finding the Fourth Proportional to 43.59, 65.11 and 38.73

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Solution

The fourth proportional to 43.59, 65.11 and 38.73 is: 57.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.59 : 65.11 = 38.73 : x
  2. Step 2: Convert to fraction form
    43.59/65.11 = 38.73/x
  3. Step 3: Cross multiply
    43.59x = 65.11 × 38.73
  4. Step 4: Simplify right side
    43.59x = 2,521.71
  5. Step 5: Solve for x
    x = 2,521.71/43.59
  6. Step 6: Final answer
    x = 57.85

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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.