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Finding the Fourth Proportional to 81.08, 120.97 and 67.64

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Solution

The fourth proportional to 81.08, 120.97 and 67.64 is: 100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.08 : 120.97 = 67.64 : x
  2. Step 2: Convert to fraction form
    81.08/120.97 = 67.64/x
  3. Step 3: Cross multiply
    81.08x = 120.97 × 67.64
  4. Step 4: Simplify right side
    81.08x = 8,182.41
  5. Step 5: Solve for x
    x = 8,182.41/81.08
  6. Step 6: Final answer
    x = 100.92

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