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Finding the Fourth Proportional to 42.19, 57.83 and 41.65

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Solution

The fourth proportional to 42.19, 57.83 and 41.65 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.19 : 57.83 = 41.65 : x
  2. Step 2: Convert to fraction form
    42.19/57.83 = 41.65/x
  3. Step 3: Cross multiply
    42.19x = 57.83 × 41.65
  4. Step 4: Simplify right side
    42.19x = 2,408.62
  5. Step 5: Solve for x
    x = 2,408.62/42.19
  6. Step 6: Final answer
    x = 57.09

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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.