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Finding the Fourth Proportional to 71.35, 98.46 and 41.86

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Solution

The fourth proportional to 71.35, 98.46 and 41.86 is: 57.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 98.46 = 41.86 : x
  2. Step 2: Convert to fraction form
    71.35/98.46 = 41.86/x
  3. Step 3: Cross multiply
    71.35x = 98.46 × 41.86
  4. Step 4: Simplify right side
    71.35x = 4,121.97
  5. Step 5: Solve for x
    x = 4,121.97/71.35
  6. Step 6: Final answer
    x = 57.77

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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.