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Finding the Fourth Proportional to 97.36, 134.28 and 81.82

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Solution

The fourth proportional to 97.36, 134.28 and 81.82 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 134.28 = 81.82 : x
  2. Step 2: Convert to fraction form
    97.36/134.28 = 81.82/x
  3. Step 3: Cross multiply
    97.36x = 134.28 × 81.82
  4. Step 4: Simplify right side
    97.36x = 10,986.79
  5. Step 5: Solve for x
    x = 10,986.79/97.36
  6. Step 6: Final answer
    x = 112.85

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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.