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Finding the Fourth Proportional to 142.22, 196.31 and 83.22

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Solution

The fourth proportional to 142.22, 196.31 and 83.22 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 196.31 = 83.22 : x
  2. Step 2: Convert to fraction form
    142.22/196.31 = 83.22/x
  3. Step 3: Cross multiply
    142.22x = 196.31 × 83.22
  4. Step 4: Simplify right side
    142.22x = 16,336.99
  5. Step 5: Solve for x
    x = 16,336.99/142.22
  6. Step 6: Final answer
    x = 114.87

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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.