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Finding the Fourth Proportional to 109, 150.17 and 84.41

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Solution

The fourth proportional to 109, 150.17 and 84.41 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 150.17 = 84.41 : x
  2. Step 2: Convert to fraction form
    109/150.17 = 84.41/x
  3. Step 3: Cross multiply
    109x = 150.17 × 84.41
  4. Step 4: Simplify right side
    109x = 12,675.85
  5. Step 5: Solve for x
    x = 12,675.85/109
  6. Step 6: Final answer
    x = 116.29

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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.