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Finding the Fourth Proportional to 138.28, 190.78 and 89.22

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Solution

The fourth proportional to 138.28, 190.78 and 89.22 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.28 : 190.78 = 89.22 : x
  2. Step 2: Convert to fraction form
    138.28/190.78 = 89.22/x
  3. Step 3: Cross multiply
    138.28x = 190.78 × 89.22
  4. Step 4: Simplify right side
    138.28x = 17,021.39
  5. Step 5: Solve for x
    x = 17,021.39/138.28
  6. Step 6: Final answer
    x = 123.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.