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Finding the Fourth Proportional to 144.11, 198.75 and 97.44

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Solution

The fourth proportional to 144.11, 198.75 and 97.44 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.11 : 198.75 = 97.44 : x
  2. Step 2: Convert to fraction form
    144.11/198.75 = 97.44/x
  3. Step 3: Cross multiply
    144.11x = 198.75 × 97.44
  4. Step 4: Simplify right side
    144.11x = 19,365.82
  5. Step 5: Solve for x
    x = 19,365.82/144.11
  6. Step 6: Final answer
    x = 134.38

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Why These Related Problems?

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