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Finding the Fourth Proportional to 144.49, 199.36 and 100.33

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Solution

The fourth proportional to 144.49, 199.36 and 100.33 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.49 : 199.36 = 100.33 : x
  2. Step 2: Convert to fraction form
    144.49/199.36 = 100.33/x
  3. Step 3: Cross multiply
    144.49x = 199.36 × 100.33
  4. Step 4: Simplify right side
    144.49x = 20,001.79
  5. Step 5: Solve for x
    x = 20,001.79/144.49
  6. Step 6: Final answer
    x = 138.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.