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Finding the Fourth Proportional to 57.54, 86.24 and 54.58

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Solution

The fourth proportional to 57.54, 86.24 and 54.58 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 86.24 = 54.58 : x
  2. Step 2: Convert to fraction form
    57.54/86.24 = 54.58/x
  3. Step 3: Cross multiply
    57.54x = 86.24 × 54.58
  4. Step 4: Simplify right side
    57.54x = 4,706.98
  5. Step 5: Solve for x
    x = 4,706.98/57.54
  6. Step 6: Final answer
    x = 81.80

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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.