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Finding the Fourth Proportional to 71.82, 106.97 and 67.56

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Solution

The fourth proportional to 71.82, 106.97 and 67.56 is: 100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 106.97 = 67.56 : x
  2. Step 2: Convert to fraction form
    71.82/106.97 = 67.56/x
  3. Step 3: Cross multiply
    71.82x = 106.97 × 67.56
  4. Step 4: Simplify right side
    71.82x = 7,226.56
  5. Step 5: Solve for x
    x = 7,226.56/71.82
  6. Step 6: Final answer
    x = 100.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.