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Finding the Fourth Proportional to 54.78, 82.24 and 54.52

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Solution

The fourth proportional to 54.78, 82.24 and 54.52 is: 81.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.24 = 54.52 : x
  2. Step 2: Convert to fraction form
    54.78/82.24 = 54.52/x
  3. Step 3: Cross multiply
    54.78x = 82.24 × 54.52
  4. Step 4: Simplify right side
    54.78x = 4,483.72
  5. Step 5: Solve for x
    x = 4,483.72/54.78
  6. Step 6: Final answer
    x = 81.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.