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Finding the Fourth Proportional to 82.88, 123.76 and 80.96

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Solution

The fourth proportional to 82.88, 123.76 and 80.96 is: 120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.88 : 123.76 = 80.96 : x
  2. Step 2: Convert to fraction form
    82.88/123.76 = 80.96/x
  3. Step 3: Cross multiply
    82.88x = 123.76 × 80.96
  4. Step 4: Simplify right side
    82.88x = 10,019.61
  5. Step 5: Solve for x
    x = 10,019.61/82.88
  6. Step 6: Final answer
    x = 120.89

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