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Finding the Fourth Proportional to 144.36, 199.05 and 100.69

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Solution

The fourth proportional to 144.36, 199.05 and 100.69 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.36 : 199.05 = 100.69 : x
  2. Step 2: Convert to fraction form
    144.36/199.05 = 100.69/x
  3. Step 3: Cross multiply
    144.36x = 199.05 × 100.69
  4. Step 4: Simplify right side
    144.36x = 20,042.34
  5. Step 5: Solve for x
    x = 20,042.34/144.36
  6. Step 6: Final answer
    x = 138.84

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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.