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Finding the Fourth Proportional to 144.62, 198.96 and 126.24

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Solution

The fourth proportional to 144.62, 198.96 and 126.24 is: 173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 198.96 = 126.24 : x
  2. Step 2: Convert to fraction form
    144.62/198.96 = 126.24/x
  3. Step 3: Cross multiply
    144.62x = 198.96 × 126.24
  4. Step 4: Simplify right side
    144.62x = 25,115.49
  5. Step 5: Solve for x
    x = 25,115.49/144.62
  6. Step 6: Final answer
    x = 173.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.