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Finding the Fourth Proportional to 96.20, 132.66 and 82.34

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Solution

The fourth proportional to 96.20, 132.66 and 82.34 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 132.66 = 82.34 : x
  2. Step 2: Convert to fraction form
    96.20/132.66 = 82.34/x
  3. Step 3: Cross multiply
    96.20x = 132.66 × 82.34
  4. Step 4: Simplify right side
    96.20x = 10,923.22
  5. Step 5: Solve for x
    x = 10,923.22/96.20
  6. Step 6: Final answer
    x = 113.55

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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.