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Finding the Fourth Proportional to 142.62, 196.82 and 77.12

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Solution

The fourth proportional to 142.62, 196.82 and 77.12 is: 106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 196.82 = 77.12 : x
  2. Step 2: Convert to fraction form
    142.62/196.82 = 77.12/x
  3. Step 3: Cross multiply
    142.62x = 196.82 × 77.12
  4. Step 4: Simplify right side
    142.62x = 15,179.22
  5. Step 5: Solve for x
    x = 15,179.22/142.62
  6. Step 6: Final answer
    x = 106.43

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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.