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Finding the Fourth Proportional to 149.16, 224.10 and 106.68

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Solution

The fourth proportional to 149.16, 224.10 and 106.68 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 224.10 = 106.68 : x
  2. Step 2: Convert to fraction form
    149.16/224.10 = 106.68/x
  3. Step 3: Cross multiply
    149.16x = 224.10 × 106.68
  4. Step 4: Simplify right side
    149.16x = 23,906.99
  5. Step 5: Solve for x
    x = 23,906.99/149.16
  6. Step 6: Final answer
    x = 160.28

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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.