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Finding the Fourth Proportional to 142.28, 196.42 and 84.12

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Solution

The fourth proportional to 142.28, 196.42 and 84.12 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 196.42 = 84.12 : x
  2. Step 2: Convert to fraction form
    142.28/196.42 = 84.12/x
  3. Step 3: Cross multiply
    142.28x = 196.42 × 84.12
  4. Step 4: Simplify right side
    142.28x = 16,522.85
  5. Step 5: Solve for x
    x = 16,522.85/142.28
  6. Step 6: Final answer
    x = 116.13

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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.