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Finding the Fourth Proportional to 149.94, 224.61 and 106.50

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Solution

The fourth proportional to 149.94, 224.61 and 106.50 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.94 : 224.61 = 106.50 : x
  2. Step 2: Convert to fraction form
    149.94/224.61 = 106.50/x
  3. Step 3: Cross multiply
    149.94x = 224.61 × 106.50
  4. Step 4: Simplify right side
    149.94x = 23,920.97
  5. Step 5: Solve for x
    x = 23,920.97/149.94
  6. Step 6: Final answer
    x = 159.54

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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.