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Finding the Fourth Proportional to 88.82, 132.54 and 81.97

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Solution

The fourth proportional to 88.82, 132.54 and 81.97 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.82 : 132.54 = 81.97 : x
  2. Step 2: Convert to fraction form
    88.82/132.54 = 81.97/x
  3. Step 3: Cross multiply
    88.82x = 132.54 × 81.97
  4. Step 4: Simplify right side
    88.82x = 10,864.30
  5. Step 5: Solve for x
    x = 10,864.30/88.82
  6. Step 6: Final answer
    x = 122.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.