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Finding the Fourth Proportional to 144.08, 198.72 and 107.24

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Solution

The fourth proportional to 144.08, 198.72 and 107.24 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 198.72 = 107.24 : x
  2. Step 2: Convert to fraction form
    144.08/198.72 = 107.24/x
  3. Step 3: Cross multiply
    144.08x = 198.72 × 107.24
  4. Step 4: Simplify right side
    144.08x = 21,310.73
  5. Step 5: Solve for x
    x = 21,310.73/144.08
  6. Step 6: Final answer
    x = 147.91

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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.