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Finding the Fourth Proportional to 149.57, 224.36 and 68.39

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Solution

The fourth proportional to 149.57, 224.36 and 68.39 is: 102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.57 : 224.36 = 68.39 : x
  2. Step 2: Convert to fraction form
    149.57/224.36 = 68.39/x
  3. Step 3: Cross multiply
    149.57x = 224.36 × 68.39
  4. Step 4: Simplify right side
    149.57x = 15,344.71
  5. Step 5: Solve for x
    x = 15,344.71/149.57
  6. Step 6: Final answer
    x = 102.59

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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.