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Finding the Fourth Proportional to 127.03, 190.56 and 44.78

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Solution

The fourth proportional to 127.03, 190.56 and 44.78 is: 67.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.03 : 190.56 = 44.78 : x
  2. Step 2: Convert to fraction form
    127.03/190.56 = 44.78/x
  3. Step 3: Cross multiply
    127.03x = 190.56 × 44.78
  4. Step 4: Simplify right side
    127.03x = 8,533.05
  5. Step 5: Solve for x
    x = 8,533.05/127.03
  6. Step 6: Final answer
    x = 67.17

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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.