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Finding the Fourth Proportional to 81.66, 122.99 and 69.54

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Solution

The fourth proportional to 81.66, 122.99 and 69.54 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.66 : 122.99 = 69.54 : x
  2. Step 2: Convert to fraction form
    81.66/122.99 = 69.54/x
  3. Step 3: Cross multiply
    81.66x = 122.99 × 69.54
  4. Step 4: Simplify right side
    81.66x = 8,552.38
  5. Step 5: Solve for x
    x = 8,552.38/81.66
  6. Step 6: Final answer
    x = 104.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.