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Finding the Fourth Proportional to 71.24, 98.31 and 41.73

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Solution

The fourth proportional to 71.24, 98.31 and 41.73 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 98.31 = 41.73 : x
  2. Step 2: Convert to fraction form
    71.24/98.31 = 41.73/x
  3. Step 3: Cross multiply
    71.24x = 98.31 × 41.73
  4. Step 4: Simplify right side
    71.24x = 4,102.27
  5. Step 5: Solve for x
    x = 4,102.27/71.24
  6. Step 6: Final answer
    x = 57.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.