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Finding the Fourth Proportional to 57.39, 85.96 and 42.19

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Solution

The fourth proportional to 57.39, 85.96 and 42.19 is: 63.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.39 : 85.96 = 42.19 : x
  2. Step 2: Convert to fraction form
    57.39/85.96 = 42.19/x
  3. Step 3: Cross multiply
    57.39x = 85.96 × 42.19
  4. Step 4: Simplify right side
    57.39x = 3,626.65
  5. Step 5: Solve for x
    x = 3,626.65/57.39
  6. Step 6: Final answer
    x = 63.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.