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Finding the Fourth Proportional to 41.83, 58.13 and 41.42

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Solution

The fourth proportional to 41.83, 58.13 and 41.42 is: 57.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.83 : 58.13 = 41.42 : x
  2. Step 2: Convert to fraction form
    41.83/58.13 = 41.42/x
  3. Step 3: Cross multiply
    41.83x = 58.13 × 41.42
  4. Step 4: Simplify right side
    41.83x = 2,407.74
  5. Step 5: Solve for x
    x = 2,407.74/41.83
  6. Step 6: Final answer
    x = 57.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.