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Finding the Fourth Proportional to 83.28, 123.36 and 82.32

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Solution

The fourth proportional to 83.28, 123.36 and 82.32 is: 121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.28 : 123.36 = 82.32 : x
  2. Step 2: Convert to fraction form
    83.28/123.36 = 82.32/x
  3. Step 3: Cross multiply
    83.28x = 123.36 × 82.32
  4. Step 4: Simplify right side
    83.28x = 10,155.00
  5. Step 5: Solve for x
    x = 10,155.00/83.28
  6. Step 6: Final answer
    x = 121.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.