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Finding the Fourth Proportional to 109, 149.94 and 104.56

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Solution

The fourth proportional to 109, 149.94 and 104.56 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 149.94 = 104.56 : x
  2. Step 2: Convert to fraction form
    109/149.94 = 104.56/x
  3. Step 3: Cross multiply
    109x = 149.94 × 104.56
  4. Step 4: Simplify right side
    109x = 15,677.73
  5. Step 5: Solve for x
    x = 15,677.73/109
  6. Step 6: Final answer
    x = 143.83

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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.