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Finding the Fourth Proportional to 144, 198.09 and 127.59

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Solution

The fourth proportional to 144, 198.09 and 127.59 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 198.09 = 127.59 : x
  2. Step 2: Convert to fraction form
    144/198.09 = 127.59/x
  3. Step 3: Cross multiply
    144x = 198.09 × 127.59
  4. Step 4: Simplify right side
    144x = 25,274.30
  5. Step 5: Solve for x
    x = 25,274.30/144
  6. Step 6: Final answer
    x = 175.52

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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.