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Finding the Fourth Proportional to 271, 406.52 and 76.02

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Solution

The fourth proportional to 271, 406.52 and 76.02 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 406.52 = 76.02 : x
  2. Step 2: Convert to fraction form
    271/406.52 = 76.02/x
  3. Step 3: Cross multiply
    271x = 406.52 × 76.02
  4. Step 4: Simplify right side
    271x = 30,903.65
  5. Step 5: Solve for x
    x = 30,903.65/271
  6. Step 6: Final answer
    x = 114.04

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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.