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Finding the Fourth Proportional to 82.05, 122.27 and 80.56

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Solution

The fourth proportional to 82.05, 122.27 and 80.56 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 122.27 = 80.56 : x
  2. Step 2: Convert to fraction form
    82.05/122.27 = 80.56/x
  3. Step 3: Cross multiply
    82.05x = 122.27 × 80.56
  4. Step 4: Simplify right side
    82.05x = 9,850.07
  5. Step 5: Solve for x
    x = 9,850.07/82.05
  6. Step 6: Final answer
    x = 120.05

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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.