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Finding the Fourth Proportional to 127.25, 190.81 and 50.24

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Solution

The fourth proportional to 127.25, 190.81 and 50.24 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.25 : 190.81 = 50.24 : x
  2. Step 2: Convert to fraction form
    127.25/190.81 = 50.24/x
  3. Step 3: Cross multiply
    127.25x = 190.81 × 50.24
  4. Step 4: Simplify right side
    127.25x = 9,586.29
  5. Step 5: Solve for x
    x = 9,586.29/127.25
  6. Step 6: Final answer
    x = 75.33

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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.