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Finding the Fourth Proportional to 127.91, 191.81 and 54.78

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Solution

The fourth proportional to 127.91, 191.81 and 54.78 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 191.81 = 54.78 : x
  2. Step 2: Convert to fraction form
    127.91/191.81 = 54.78/x
  3. Step 3: Cross multiply
    127.91x = 191.81 × 54.78
  4. Step 4: Simplify right side
    127.91x = 10,507.08
  5. Step 5: Solve for x
    x = 10,507.08/127.91
  6. Step 6: Final answer
    x = 82.14

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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.