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Finding the Fourth Proportional to 54.54, 82.17 and 54.05

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Solution

The fourth proportional to 54.54, 82.17 and 54.05 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.54 : 82.17 = 54.05 : x
  2. Step 2: Convert to fraction form
    54.54/82.17 = 54.05/x
  3. Step 3: Cross multiply
    54.54x = 82.17 × 54.05
  4. Step 4: Simplify right side
    54.54x = 4,440.88
  5. Step 5: Solve for x
    x = 4,440.88/54.54
  6. Step 6: Final answer
    x = 81.42

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Why These Related Problems?

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