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Finding the Fourth Proportional to 144.12, 198.68 and 120.84

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Solution

The fourth proportional to 144.12, 198.68 and 120.84 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 198.68 = 120.84 : x
  2. Step 2: Convert to fraction form
    144.12/198.68 = 120.84/x
  3. Step 3: Cross multiply
    144.12x = 198.68 × 120.84
  4. Step 4: Simplify right side
    144.12x = 24,008.49
  5. Step 5: Solve for x
    x = 24,008.49/144.12
  6. Step 6: Final answer
    x = 166.59

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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.