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Finding the Fourth Proportional to 126.44, 190.71 and 122.12

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Solution

The fourth proportional to 126.44, 190.71 and 122.12 is: 184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.44 : 190.71 = 122.12 : x
  2. Step 2: Convert to fraction form
    126.44/190.71 = 122.12/x
  3. Step 3: Cross multiply
    126.44x = 190.71 × 122.12
  4. Step 4: Simplify right side
    126.44x = 23,289.51
  5. Step 5: Solve for x
    x = 23,289.51/126.44
  6. Step 6: Final answer
    x = 184.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.