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Finding the Fourth Proportional to 57.65, 86.46 and 27.18

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Solution

The fourth proportional to 57.65, 86.46 and 27.18 is: 40.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.65 : 86.46 = 27.18 : x
  2. Step 2: Convert to fraction form
    57.65/86.46 = 27.18/x
  3. Step 3: Cross multiply
    57.65x = 86.46 × 27.18
  4. Step 4: Simplify right side
    57.65x = 2,350.31
  5. Step 5: Solve for x
    x = 2,350.31/57.65
  6. Step 6: Final answer
    x = 40.77

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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.