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Finding the Fourth Proportional to 144.47, 199.24 and 107.71

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Solution

The fourth proportional to 144.47, 199.24 and 107.71 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.47 : 199.24 = 107.71 : x
  2. Step 2: Convert to fraction form
    144.47/199.24 = 107.71/x
  3. Step 3: Cross multiply
    144.47x = 199.24 × 107.71
  4. Step 4: Simplify right side
    144.47x = 21,460.32
  5. Step 5: Solve for x
    x = 21,460.32/144.47
  6. Step 6: Final answer
    x = 148.55

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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.