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Finding the Fourth Proportional to 81.68, 122.63 and 69.74

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Solution

The fourth proportional to 81.68, 122.63 and 69.74 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.68 : 122.63 = 69.74 : x
  2. Step 2: Convert to fraction form
    81.68/122.63 = 69.74/x
  3. Step 3: Cross multiply
    81.68x = 122.63 × 69.74
  4. Step 4: Simplify right side
    81.68x = 8,552.22
  5. Step 5: Solve for x
    x = 8,552.22/81.68
  6. Step 6: Final answer
    x = 104.70

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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.