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Finding the Fourth Proportional to 144.25, 198.97 and 96.99

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Solution

The fourth proportional to 144.25, 198.97 and 96.99 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 198.97 = 96.99 : x
  2. Step 2: Convert to fraction form
    144.25/198.97 = 96.99/x
  3. Step 3: Cross multiply
    144.25x = 198.97 × 96.99
  4. Step 4: Simplify right side
    144.25x = 19,298.10
  5. Step 5: Solve for x
    x = 19,298.10/144.25
  6. Step 6: Final answer
    x = 133.78

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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.