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Finding the Fourth Proportional to 144.30, 199.34 and 111.97

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Solution

The fourth proportional to 144.30, 199.34 and 111.97 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 199.34 = 111.97 : x
  2. Step 2: Convert to fraction form
    144.30/199.34 = 111.97/x
  3. Step 3: Cross multiply
    144.30x = 199.34 × 111.97
  4. Step 4: Simplify right side
    144.30x = 22,319.88
  5. Step 5: Solve for x
    x = 22,319.88/144.30
  6. Step 6: Final answer
    x = 154.68

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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.