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Finding the Fourth Proportional to 54.52, 75.22 and 38.98

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Solution

The fourth proportional to 54.52, 75.22 and 38.98 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.52 : 75.22 = 38.98 : x
  2. Step 2: Convert to fraction form
    54.52/75.22 = 38.98/x
  3. Step 3: Cross multiply
    54.52x = 75.22 × 38.98
  4. Step 4: Simplify right side
    54.52x = 2,932.08
  5. Step 5: Solve for x
    x = 2,932.08/54.52
  6. Step 6: Final answer
    x = 53.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.