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Finding the Fourth Proportional to 127.91, 191.87 and 36.61

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Solution

The fourth proportional to 127.91, 191.87 and 36.61 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 191.87 = 36.61 : x
  2. Step 2: Convert to fraction form
    127.91/191.87 = 36.61/x
  3. Step 3: Cross multiply
    127.91x = 191.87 × 36.61
  4. Step 4: Simplify right side
    127.91x = 7,024.36
  5. Step 5: Solve for x
    x = 7,024.36/127.91
  6. Step 6: Final answer
    x = 54.92

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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.