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Finding the Fourth Proportional to 57.67, 86.71 and 40.62

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Solution

The fourth proportional to 57.67, 86.71 and 40.62 is: 61.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.67 : 86.71 = 40.62 : x
  2. Step 2: Convert to fraction form
    57.67/86.71 = 40.62/x
  3. Step 3: Cross multiply
    57.67x = 86.71 × 40.62
  4. Step 4: Simplify right side
    57.67x = 3,522.16
  5. Step 5: Solve for x
    x = 3,522.16/57.67
  6. Step 6: Final answer
    x = 61.07

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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.