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Finding the Fourth Proportional to 81.48, 122.01 and 68.64

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Solution

The fourth proportional to 81.48, 122.01 and 68.64 is: 102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.48 : 122.01 = 68.64 : x
  2. Step 2: Convert to fraction form
    81.48/122.01 = 68.64/x
  3. Step 3: Cross multiply
    81.48x = 122.01 × 68.64
  4. Step 4: Simplify right side
    81.48x = 8,374.77
  5. Step 5: Solve for x
    x = 8,374.77/81.48
  6. Step 6: Final answer
    x = 102.78

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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.