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Finding the Fourth Proportional to 144.54, 199.49 and 107.64

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Solution

The fourth proportional to 144.54, 199.49 and 107.64 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 199.49 = 107.64 : x
  2. Step 2: Convert to fraction form
    144.54/199.49 = 107.64/x
  3. Step 3: Cross multiply
    144.54x = 199.49 × 107.64
  4. Step 4: Simplify right side
    144.54x = 21,472.57
  5. Step 5: Solve for x
    x = 21,472.57/144.54
  6. Step 6: Final answer
    x = 148.56

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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.