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Finding the Fourth Proportional to 127.26, 190.86 and 81.63

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Solution

The fourth proportional to 127.26, 190.86 and 81.63 is: 122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 190.86 = 81.63 : x
  2. Step 2: Convert to fraction form
    127.26/190.86 = 81.63/x
  3. Step 3: Cross multiply
    127.26x = 190.86 × 81.63
  4. Step 4: Simplify right side
    127.26x = 15,579.90
  5. Step 5: Solve for x
    x = 15,579.90/127.26
  6. Step 6: Final answer
    x = 122.43

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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.