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Finding the Fourth Proportional to 144.46, 199.09 and 119.89

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Solution

The fourth proportional to 144.46, 199.09 and 119.89 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 199.09 = 119.89 : x
  2. Step 2: Convert to fraction form
    144.46/199.09 = 119.89/x
  3. Step 3: Cross multiply
    144.46x = 199.09 × 119.89
  4. Step 4: Simplify right side
    144.46x = 23,868.90
  5. Step 5: Solve for x
    x = 23,868.90/144.46
  6. Step 6: Final answer
    x = 165.23

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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.