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Finding the Fourth Proportional to 57.34, 86.03 and 20.78

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Solution

The fourth proportional to 57.34, 86.03 and 20.78 is: 31.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.34 : 86.03 = 20.78 : x
  2. Step 2: Convert to fraction form
    57.34/86.03 = 20.78/x
  3. Step 3: Cross multiply
    57.34x = 86.03 × 20.78
  4. Step 4: Simplify right side
    57.34x = 1,787.60
  5. Step 5: Solve for x
    x = 1,787.60/57.34
  6. Step 6: Final answer
    x = 31.18

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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.