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Finding the Fourth Proportional to 149.16, 223.87 and 67.02

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Solution

The fourth proportional to 149.16, 223.87 and 67.02 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 223.87 = 67.02 : x
  2. Step 2: Convert to fraction form
    149.16/223.87 = 67.02/x
  3. Step 3: Cross multiply
    149.16x = 223.87 × 67.02
  4. Step 4: Simplify right side
    149.16x = 15,003.57
  5. Step 5: Solve for x
    x = 15,003.57/149.16
  6. Step 6: Final answer
    x = 100.59

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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.