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Finding the Fourth Proportional to 127.26, 190.92 and 69.46

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Solution

The fourth proportional to 127.26, 190.92 and 69.46 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 190.92 = 69.46 : x
  2. Step 2: Convert to fraction form
    127.26/190.92 = 69.46/x
  3. Step 3: Cross multiply
    127.26x = 190.92 × 69.46
  4. Step 4: Simplify right side
    127.26x = 13,261.30
  5. Step 5: Solve for x
    x = 13,261.30/127.26
  6. Step 6: Final answer
    x = 104.21

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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.