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Finding the Fourth Proportional to 149.45, 224.06 and 103.67

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Solution

The fourth proportional to 149.45, 224.06 and 103.67 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 224.06 = 103.67 : x
  2. Step 2: Convert to fraction form
    149.45/224.06 = 103.67/x
  3. Step 3: Cross multiply
    149.45x = 224.06 × 103.67
  4. Step 4: Simplify right side
    149.45x = 23,226.66
  5. Step 5: Solve for x
    x = 23,226.66/149.45
  6. Step 6: Final answer
    x = 155.42

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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.