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Finding the Fourth Proportional to 138.68, 191.34 and 109.48

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Solution

The fourth proportional to 138.68, 191.34 and 109.48 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 191.34 = 109.48 : x
  2. Step 2: Convert to fraction form
    138.68/191.34 = 109.48/x
  3. Step 3: Cross multiply
    138.68x = 191.34 × 109.48
  4. Step 4: Simplify right side
    138.68x = 20,947.90
  5. Step 5: Solve for x
    x = 20,947.90/138.68
  6. Step 6: Final answer
    x = 151.05

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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.