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Finding the Fourth Proportional to 141.76, 196.06 and 122.11

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Solution

The fourth proportional to 141.76, 196.06 and 122.11 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 196.06 = 122.11 : x
  2. Step 2: Convert to fraction form
    141.76/196.06 = 122.11/x
  3. Step 3: Cross multiply
    141.76x = 196.06 × 122.11
  4. Step 4: Simplify right side
    141.76x = 23,939.30
  5. Step 5: Solve for x
    x = 23,939.30/141.76
  6. Step 6: Final answer
    x = 168.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.