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Finding the Fourth Proportional to 271.21, 406.51 and 106.60

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Solution

The fourth proportional to 271.21, 406.51 and 106.60 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.21 : 406.51 = 106.60 : x
  2. Step 2: Convert to fraction form
    271.21/406.51 = 106.60/x
  3. Step 3: Cross multiply
    271.21x = 406.51 × 106.60
  4. Step 4: Simplify right side
    271.21x = 43,333.97
  5. Step 5: Solve for x
    x = 43,333.97/271.21
  6. Step 6: Final answer
    x = 159.78

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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.