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Finding the Fourth Proportional to 143.07, 196.98 and 122.11

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Solution

The fourth proportional to 143.07, 196.98 and 122.11 is: 168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 196.98 = 122.11 : x
  2. Step 2: Convert to fraction form
    143.07/196.98 = 122.11/x
  3. Step 3: Cross multiply
    143.07x = 196.98 × 122.11
  4. Step 4: Simplify right side
    143.07x = 24,052.96
  5. Step 5: Solve for x
    x = 24,052.96/143.07
  6. Step 6: Final answer
    x = 168.12

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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.