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Finding the Fourth Proportional to 42.11, 57.75 and 41.90

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Solution

The fourth proportional to 42.11, 57.75 and 41.90 is: 57.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.11 : 57.75 = 41.90 : x
  2. Step 2: Convert to fraction form
    42.11/57.75 = 41.90/x
  3. Step 3: Cross multiply
    42.11x = 57.75 × 41.90
  4. Step 4: Simplify right side
    42.11x = 2,419.44
  5. Step 5: Solve for x
    x = 2,419.44/42.11
  6. Step 6: Final answer
    x = 57.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.