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Finding the Fourth Proportional to 138.26, 190.60 and 109.10

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Solution

The fourth proportional to 138.26, 190.60 and 109.10 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 190.60 = 109.10 : x
  2. Step 2: Convert to fraction form
    138.26/190.60 = 109.10/x
  3. Step 3: Cross multiply
    138.26x = 190.60 × 109.10
  4. Step 4: Simplify right side
    138.26x = 20,794.46
  5. Step 5: Solve for x
    x = 20,794.46/138.26
  6. Step 6: Final answer
    x = 150.40

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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.