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Finding the Fourth Proportional to 81.32, 122.38 and 69.56

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Solution

The fourth proportional to 81.32, 122.38 and 69.56 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.32 : 122.38 = 69.56 : x
  2. Step 2: Convert to fraction form
    81.32/122.38 = 69.56/x
  3. Step 3: Cross multiply
    81.32x = 122.38 × 69.56
  4. Step 4: Simplify right side
    81.32x = 8,512.75
  5. Step 5: Solve for x
    x = 8,512.75/81.32
  6. Step 6: Final answer
    x = 104.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.