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Finding the Fourth Proportional to 97.23, 133.82 and 84.88

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Solution

The fourth proportional to 97.23, 133.82 and 84.88 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 133.82 = 84.88 : x
  2. Step 2: Convert to fraction form
    97.23/133.82 = 84.88/x
  3. Step 3: Cross multiply
    97.23x = 133.82 × 84.88
  4. Step 4: Simplify right side
    97.23x = 11,358.64
  5. Step 5: Solve for x
    x = 11,358.64/97.23
  6. Step 6: Final answer
    x = 116.82

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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.