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Finding the Fourth Proportional to 97.82, 134.88 and 83.24

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Solution

The fourth proportional to 97.82, 134.88 and 83.24 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 134.88 = 83.24 : x
  2. Step 2: Convert to fraction form
    97.82/134.88 = 83.24/x
  3. Step 3: Cross multiply
    97.82x = 134.88 × 83.24
  4. Step 4: Simplify right side
    97.82x = 11,227.41
  5. Step 5: Solve for x
    x = 11,227.41/97.82
  6. Step 6: Final answer
    x = 114.78

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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.