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Finding the Fourth Proportional to 144.30, 198.68 and 127.68

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Solution

The fourth proportional to 144.30, 198.68 and 127.68 is: 175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 198.68 = 127.68 : x
  2. Step 2: Convert to fraction form
    144.30/198.68 = 127.68/x
  3. Step 3: Cross multiply
    144.30x = 198.68 × 127.68
  4. Step 4: Simplify right side
    144.30x = 25,367.30
  5. Step 5: Solve for x
    x = 25,367.30/144.30
  6. Step 6: Final answer
    x = 175.79

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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.