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Finding the Fourth Proportional to 144.18, 198.09 and 117.88

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Solution

The fourth proportional to 144.18, 198.09 and 117.88 is: 161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.18 : 198.09 = 117.88 : x
  2. Step 2: Convert to fraction form
    144.18/198.09 = 117.88/x
  3. Step 3: Cross multiply
    144.18x = 198.09 × 117.88
  4. Step 4: Simplify right side
    144.18x = 23,350.35
  5. Step 5: Solve for x
    x = 23,350.35/144.18
  6. Step 6: Final answer
    x = 161.95

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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.