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Finding the Fourth Proportional to 57.31, 86.41 and 54.02

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Solution

The fourth proportional to 57.31, 86.41 and 54.02 is: 81.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 86.41 = 54.02 : x
  2. Step 2: Convert to fraction form
    57.31/86.41 = 54.02/x
  3. Step 3: Cross multiply
    57.31x = 86.41 × 54.02
  4. Step 4: Simplify right side
    57.31x = 4,668.15
  5. Step 5: Solve for x
    x = 4,668.15/57.31
  6. Step 6: Final answer
    x = 81.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.