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Finding the Fourth Proportional to 127.44, 191.04 and 81.78

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Solution

The fourth proportional to 127.44, 191.04 and 81.78 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 191.04 = 81.78 : x
  2. Step 2: Convert to fraction form
    127.44/191.04 = 81.78/x
  3. Step 3: Cross multiply
    127.44x = 191.04 × 81.78
  4. Step 4: Simplify right side
    127.44x = 15,623.25
  5. Step 5: Solve for x
    x = 15,623.25/127.44
  6. Step 6: Final answer
    x = 122.59

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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.