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Finding the Fourth Proportional to 127.44, 191.17 and 36.14

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Solution

The fourth proportional to 127.44, 191.17 and 36.14 is: 54.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 191.17 = 36.14 : x
  2. Step 2: Convert to fraction form
    127.44/191.17 = 36.14/x
  3. Step 3: Cross multiply
    127.44x = 191.17 × 36.14
  4. Step 4: Simplify right side
    127.44x = 6,908.88
  5. Step 5: Solve for x
    x = 6,908.88/127.44
  6. Step 6: Final answer
    x = 54.21

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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.