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Finding the Fourth Proportional to 71.05, 97.96 and 59.41

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Solution

The fourth proportional to 71.05, 97.96 and 59.41 is: 81.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 97.96 = 59.41 : x
  2. Step 2: Convert to fraction form
    71.05/97.96 = 59.41/x
  3. Step 3: Cross multiply
    71.05x = 97.96 × 59.41
  4. Step 4: Simplify right side
    71.05x = 5,819.80
  5. Step 5: Solve for x
    x = 5,819.80/71.05
  6. Step 6: Final answer
    x = 81.91

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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.