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Finding the Fourth Proportional to 138.54, 191.34 and 109.38

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Solution

The fourth proportional to 138.54, 191.34 and 109.38 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 191.34 = 109.38 : x
  2. Step 2: Convert to fraction form
    138.54/191.34 = 109.38/x
  3. Step 3: Cross multiply
    138.54x = 191.34 × 109.38
  4. Step 4: Simplify right side
    138.54x = 20,928.77
  5. Step 5: Solve for x
    x = 20,928.77/138.54
  6. Step 6: Final answer
    x = 151.07

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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.