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Finding the Fourth Proportional to 57.42, 86.32 and 31.80

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Solution

The fourth proportional to 57.42, 86.32 and 31.80 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 86.32 = 31.80 : x
  2. Step 2: Convert to fraction form
    57.42/86.32 = 31.80/x
  3. Step 3: Cross multiply
    57.42x = 86.32 × 31.80
  4. Step 4: Simplify right side
    57.42x = 2,744.98
  5. Step 5: Solve for x
    x = 2,744.98/57.42
  6. Step 6: Final answer
    x = 47.81

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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.