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Finding the Fourth Proportional to 143.39, 198.42 and 122.64

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Solution

The fourth proportional to 143.39, 198.42 and 122.64 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.39 : 198.42 = 122.64 : x
  2. Step 2: Convert to fraction form
    143.39/198.42 = 122.64/x
  3. Step 3: Cross multiply
    143.39x = 198.42 × 122.64
  4. Step 4: Simplify right side
    143.39x = 24,334.23
  5. Step 5: Solve for x
    x = 24,334.23/143.39
  6. Step 6: Final answer
    x = 169.71

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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.