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Finding the Fourth Proportional to 144.24, 198.72 and 110.97

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Solution

The fourth proportional to 144.24, 198.72 and 110.97 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 198.72 = 110.97 : x
  2. Step 2: Convert to fraction form
    144.24/198.72 = 110.97/x
  3. Step 3: Cross multiply
    144.24x = 198.72 × 110.97
  4. Step 4: Simplify right side
    144.24x = 22,051.96
  5. Step 5: Solve for x
    x = 22,051.96/144.24
  6. Step 6: Final answer
    x = 152.88

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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.