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Finding the Fourth Proportional to 271.07, 406.73 and 86.00

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Solution

The fourth proportional to 271.07, 406.73 and 86.00 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.07 : 406.73 = 86.00 : x
  2. Step 2: Convert to fraction form
    271.07/406.73 = 86.00/x
  3. Step 3: Cross multiply
    271.07x = 406.73 × 86.00
  4. Step 4: Simplify right side
    271.07x = 34,978.57
  5. Step 5: Solve for x
    x = 34,978.57/271.07
  6. Step 6: Final answer
    x = 129.04

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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.