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Finding the Fourth Proportional to 54.98, 75.83 and 41.87

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Solution

The fourth proportional to 54.98, 75.83 and 41.87 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 75.83 = 41.87 : x
  2. Step 2: Convert to fraction form
    54.98/75.83 = 41.87/x
  3. Step 3: Cross multiply
    54.98x = 75.83 × 41.87
  4. Step 4: Simplify right side
    54.98x = 3,174.41
  5. Step 5: Solve for x
    x = 3,174.41/54.98
  6. Step 6: Final answer
    x = 57.74

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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.