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Finding the Fourth Proportional to 138.50, 191.23 and 106.94

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Solution

The fourth proportional to 138.50, 191.23 and 106.94 is: 147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 191.23 = 106.94 : x
  2. Step 2: Convert to fraction form
    138.50/191.23 = 106.94/x
  3. Step 3: Cross multiply
    138.50x = 191.23 × 106.94
  4. Step 4: Simplify right side
    138.50x = 20,450.14
  5. Step 5: Solve for x
    x = 20,450.14/138.50
  6. Step 6: Final answer
    x = 147.65

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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.