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Finding the Fourth Proportional to 70.82, 97.82 and 59.20

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Solution

The fourth proportional to 70.82, 97.82 and 59.20 is: 81.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 97.82 = 59.20 : x
  2. Step 2: Convert to fraction form
    70.82/97.82 = 59.20/x
  3. Step 3: Cross multiply
    70.82x = 97.82 × 59.20
  4. Step 4: Simplify right side
    70.82x = 5,790.94
  5. Step 5: Solve for x
    x = 5,790.94/70.82
  6. Step 6: Final answer
    x = 81.78

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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.