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Finding the Fourth Proportional to 71.75, 107.66 and 42.86

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Solution

The fourth proportional to 71.75, 107.66 and 42.86 is: 64.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 107.66 = 42.86 : x
  2. Step 2: Convert to fraction form
    71.75/107.66 = 42.86/x
  3. Step 3: Cross multiply
    71.75x = 107.66 × 42.86
  4. Step 4: Simplify right side
    71.75x = 4,614.68
  5. Step 5: Solve for x
    x = 4,614.68/71.75
  6. Step 6: Final answer
    x = 64.31

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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.