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Finding the Fourth Proportional to 82.98, 125.24 and 80.82

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Solution

The fourth proportional to 82.98, 125.24 and 80.82 is: 121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 125.24 = 80.82 : x
  2. Step 2: Convert to fraction form
    82.98/125.24 = 80.82/x
  3. Step 3: Cross multiply
    82.98x = 125.24 × 80.82
  4. Step 4: Simplify right side
    82.98x = 10,121.49
  5. Step 5: Solve for x
    x = 10,121.49/82.98
  6. Step 6: Final answer
    x = 121.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.