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Finding the Fourth Proportional to 144.66, 198.60 and 122.82

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Solution

The fourth proportional to 144.66, 198.60 and 122.82 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 198.60 = 122.82 : x
  2. Step 2: Convert to fraction form
    144.66/198.60 = 122.82/x
  3. Step 3: Cross multiply
    144.66x = 198.60 × 122.82
  4. Step 4: Simplify right side
    144.66x = 24,392.05
  5. Step 5: Solve for x
    x = 24,392.05/144.66
  6. Step 6: Final answer
    x = 168.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.