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Finding the Fourth Proportional to 142.42, 196.52 and 83.41

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Solution

The fourth proportional to 142.42, 196.52 and 83.41 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 196.52 = 83.41 : x
  2. Step 2: Convert to fraction form
    142.42/196.52 = 83.41/x
  3. Step 3: Cross multiply
    142.42x = 196.52 × 83.41
  4. Step 4: Simplify right side
    142.42x = 16,391.73
  5. Step 5: Solve for x
    x = 16,391.73/142.42
  6. Step 6: Final answer
    x = 115.09

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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.