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Finding the Fourth Proportional to 271.30, 406.71 and 109.09

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Solution

The fourth proportional to 271.30, 406.71 and 109.09 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.30 : 406.71 = 109.09 : x
  2. Step 2: Convert to fraction form
    271.30/406.71 = 109.09/x
  3. Step 3: Cross multiply
    271.30x = 406.71 × 109.09
  4. Step 4: Simplify right side
    271.30x = 44,367.45
  5. Step 5: Solve for x
    x = 44,367.45/271.30
  6. Step 6: Final answer
    x = 163.54

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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.