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Finding the Fourth Proportional to 127.15, 190.63 and 54.97

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Solution

The fourth proportional to 127.15, 190.63 and 54.97 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.15 : 190.63 = 54.97 : x
  2. Step 2: Convert to fraction form
    127.15/190.63 = 54.97/x
  3. Step 3: Cross multiply
    127.15x = 190.63 × 54.97
  4. Step 4: Simplify right side
    127.15x = 10,478.93
  5. Step 5: Solve for x
    x = 10,478.93/127.15
  6. Step 6: Final answer
    x = 82.41

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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.