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Finding the Fourth Proportional to 71.96, 107.97 and 26.34

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Solution

The fourth proportional to 71.96, 107.97 and 26.34 is: 39.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 107.97 = 26.34 : x
  2. Step 2: Convert to fraction form
    71.96/107.97 = 26.34/x
  3. Step 3: Cross multiply
    71.96x = 107.97 × 26.34
  4. Step 4: Simplify right side
    71.96x = 2,843.69
  5. Step 5: Solve for x
    x = 2,843.69/71.96
  6. Step 6: Final answer
    x = 39.52

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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.