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Finding the Fourth Proportional to 71.92, 107.83 and 31.33

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Solution

The fourth proportional to 71.92, 107.83 and 31.33 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 107.83 = 31.33 : x
  2. Step 2: Convert to fraction form
    71.92/107.83 = 31.33/x
  3. Step 3: Cross multiply
    71.92x = 107.83 × 31.33
  4. Step 4: Simplify right side
    71.92x = 3,378.31
  5. Step 5: Solve for x
    x = 3,378.31/71.92
  6. Step 6: Final answer
    x = 46.97

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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.