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Finding the Fourth Proportional to 57.67, 86.34 and 46.30

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Solution

The fourth proportional to 57.67, 86.34 and 46.30 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.67 : 86.34 = 46.30 : x
  2. Step 2: Convert to fraction form
    57.67/86.34 = 46.30/x
  3. Step 3: Cross multiply
    57.67x = 86.34 × 46.30
  4. Step 4: Simplify right side
    57.67x = 3,997.54
  5. Step 5: Solve for x
    x = 3,997.54/57.67
  6. Step 6: Final answer
    x = 69.32

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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.