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Finding the Fourth Proportional to 54.98, 75.84 and 41.92

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Solution

The fourth proportional to 54.98, 75.84 and 41.92 is: 57.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 75.84 = 41.92 : x
  2. Step 2: Convert to fraction form
    54.98/75.84 = 41.92/x
  3. Step 3: Cross multiply
    54.98x = 75.84 × 41.92
  4. Step 4: Simplify right side
    54.98x = 3,178.87
  5. Step 5: Solve for x
    x = 3,178.87/54.98
  6. Step 6: Final answer
    x = 57.82

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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.