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Finding the Fourth Proportional to 138.62, 191.17 and 109.46

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Solution

The fourth proportional to 138.62, 191.17 and 109.46 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 191.17 = 109.46 : x
  2. Step 2: Convert to fraction form
    138.62/191.17 = 109.46/x
  3. Step 3: Cross multiply
    138.62x = 191.17 × 109.46
  4. Step 4: Simplify right side
    138.62x = 20,925.74
  5. Step 5: Solve for x
    x = 20,925.74/138.62
  6. Step 6: Final answer
    x = 150.96

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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.