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Finding the Fourth Proportional to 57.42, 86.07 and 39.11

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Solution

The fourth proportional to 57.42, 86.07 and 39.11 is: 58.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 86.07 = 39.11 : x
  2. Step 2: Convert to fraction form
    57.42/86.07 = 39.11/x
  3. Step 3: Cross multiply
    57.42x = 86.07 × 39.11
  4. Step 4: Simplify right side
    57.42x = 3,365.77
  5. Step 5: Solve for x
    x = 3,365.77/57.42
  6. Step 6: Final answer
    x = 58.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.