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Finding the Fourth Proportional to 150, 224.92 and 68.91

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Solution

The fourth proportional to 150, 224.92 and 68.91 is: 103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 224.92 = 68.91 : x
  2. Step 2: Convert to fraction form
    150/224.92 = 68.91/x
  3. Step 3: Cross multiply
    150x = 224.92 × 68.91
  4. Step 4: Simplify right side
    150x = 15,499.24
  5. Step 5: Solve for x
    x = 15,499.24/150
  6. Step 6: Final answer
    x = 103.33

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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.