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Finding the Fourth Proportional to 127.88, 191.81 and 36.56

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Solution

The fourth proportional to 127.88, 191.81 and 36.56 is: 54.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 191.81 = 36.56 : x
  2. Step 2: Convert to fraction form
    127.88/191.81 = 36.56/x
  3. Step 3: Cross multiply
    127.88x = 191.81 × 36.56
  4. Step 4: Simplify right side
    127.88x = 7,012.57
  5. Step 5: Solve for x
    x = 7,012.57/127.88
  6. Step 6: Final answer
    x = 54.84

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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.