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Finding the Fourth Proportional to 81.14, 122.24 and 70.94

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Solution

The fourth proportional to 81.14, 122.24 and 70.94 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.14 : 122.24 = 70.94 : x
  2. Step 2: Convert to fraction form
    81.14/122.24 = 70.94/x
  3. Step 3: Cross multiply
    81.14x = 122.24 × 70.94
  4. Step 4: Simplify right side
    81.14x = 8,672.19
  5. Step 5: Solve for x
    x = 8,672.19/81.14
  6. Step 6: Final answer
    x = 106.89

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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.