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Finding the Fourth Proportional to 154.05, 230.67 and 81.69

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Solution

The fourth proportional to 154.05, 230.67 and 81.69 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 230.67 = 81.69 : x
  2. Step 2: Convert to fraction form
    154.05/230.67 = 81.69/x
  3. Step 3: Cross multiply
    154.05x = 230.67 × 81.69
  4. Step 4: Simplify right side
    154.05x = 18,843.43
  5. Step 5: Solve for x
    x = 18,843.43/154.05
  6. Step 6: Final answer
    x = 122.32

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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.