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Finding the Fourth Proportional to 150.86, 226.40 and 69.73

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Solution

The fourth proportional to 150.86, 226.40 and 69.73 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 226.40 = 69.73 : x
  2. Step 2: Convert to fraction form
    150.86/226.40 = 69.73/x
  3. Step 3: Cross multiply
    150.86x = 226.40 × 69.73
  4. Step 4: Simplify right side
    150.86x = 15,785.96
  5. Step 5: Solve for x
    x = 15,785.96/150.86
  6. Step 6: Final answer
    x = 104.64

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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.