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Finding the Fourth Proportional to 81.42, 122.12 and 68.46

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Solution

The fourth proportional to 81.42, 122.12 and 68.46 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 122.12 = 68.46 : x
  2. Step 2: Convert to fraction form
    81.42/122.12 = 68.46/x
  3. Step 3: Cross multiply
    81.42x = 122.12 × 68.46
  4. Step 4: Simplify right side
    81.42x = 8,360.34
  5. Step 5: Solve for x
    x = 8,360.34/81.42
  6. Step 6: Final answer
    x = 102.68

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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.