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Finding the Fourth Proportional to 57.88, 86.88 and 27.46

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Solution

The fourth proportional to 57.88, 86.88 and 27.46 is: 41.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.88 : 86.88 = 27.46 : x
  2. Step 2: Convert to fraction form
    57.88/86.88 = 27.46/x
  3. Step 3: Cross multiply
    57.88x = 86.88 × 27.46
  4. Step 4: Simplify right side
    57.88x = 2,385.72
  5. Step 5: Solve for x
    x = 2,385.72/57.88
  6. Step 6: Final answer
    x = 41.22

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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.