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Finding the Fourth Proportional to 97.07, 133.84 and 82.29

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Solution

The fourth proportional to 97.07, 133.84 and 82.29 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.07 : 133.84 = 82.29 : x
  2. Step 2: Convert to fraction form
    97.07/133.84 = 82.29/x
  3. Step 3: Cross multiply
    97.07x = 133.84 × 82.29
  4. Step 4: Simplify right side
    97.07x = 11,013.69
  5. Step 5: Solve for x
    x = 11,013.69/97.07
  6. Step 6: Final answer
    x = 113.46

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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.