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Finding the Fourth Proportional to 144.25, 199.15 and 109.69

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Solution

The fourth proportional to 144.25, 199.15 and 109.69 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 199.15 = 109.69 : x
  2. Step 2: Convert to fraction form
    144.25/199.15 = 109.69/x
  3. Step 3: Cross multiply
    144.25x = 199.15 × 109.69
  4. Step 4: Simplify right side
    144.25x = 21,844.76
  5. Step 5: Solve for x
    x = 21,844.76/144.25
  6. Step 6: Final answer
    x = 151.44

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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.