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Finding the Fourth Proportional to 127.26, 191.27 and 81.90

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Solution

The fourth proportional to 127.26, 191.27 and 81.90 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 191.27 = 81.90 : x
  2. Step 2: Convert to fraction form
    127.26/191.27 = 81.90/x
  3. Step 3: Cross multiply
    127.26x = 191.27 × 81.90
  4. Step 4: Simplify right side
    127.26x = 15,665.01
  5. Step 5: Solve for x
    x = 15,665.01/127.26
  6. Step 6: Final answer
    x = 123.09

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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.