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Finding the Fourth Proportional to 57.42, 86.03 and 39.77

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Solution

The fourth proportional to 57.42, 86.03 and 39.77 is: 59.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 86.03 = 39.77 : x
  2. Step 2: Convert to fraction form
    57.42/86.03 = 39.77/x
  3. Step 3: Cross multiply
    57.42x = 86.03 × 39.77
  4. Step 4: Simplify right side
    57.42x = 3,421.21
  5. Step 5: Solve for x
    x = 3,421.21/57.42
  6. Step 6: Final answer
    x = 59.58

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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.