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Finding the Fourth Proportional to 127.10, 190.78 and 54.02

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Solution

The fourth proportional to 127.10, 190.78 and 54.02 is: 81.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 190.78 = 54.02 : x
  2. Step 2: Convert to fraction form
    127.10/190.78 = 54.02/x
  3. Step 3: Cross multiply
    127.10x = 190.78 × 54.02
  4. Step 4: Simplify right side
    127.10x = 10,305.94
  5. Step 5: Solve for x
    x = 10,305.94/127.10
  6. Step 6: Final answer
    x = 81.09

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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.