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Finding the Fourth Proportional to 142.11, 196.13 and 83.12

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Solution

The fourth proportional to 142.11, 196.13 and 83.12 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 196.13 = 83.12 : x
  2. Step 2: Convert to fraction form
    142.11/196.13 = 83.12/x
  3. Step 3: Cross multiply
    142.11x = 196.13 × 83.12
  4. Step 4: Simplify right side
    142.11x = 16,300.93
  5. Step 5: Solve for x
    x = 16,300.93/142.11
  6. Step 6: Final answer
    x = 114.71

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Why These Related Problems?

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