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Finding the Fourth Proportional to 149.41, 224.15 and 84.41

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Solution

The fourth proportional to 149.41, 224.15 and 84.41 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.41 : 224.15 = 84.41 : x
  2. Step 2: Convert to fraction form
    149.41/224.15 = 84.41/x
  3. Step 3: Cross multiply
    149.41x = 224.15 × 84.41
  4. Step 4: Simplify right side
    149.41x = 18,920.27
  5. Step 5: Solve for x
    x = 18,920.27/149.41
  6. Step 6: Final answer
    x = 126.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.