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Finding the Fourth Proportional to 138.38, 191.03 and 105.20

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Solution

The fourth proportional to 138.38, 191.03 and 105.20 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 191.03 = 105.20 : x
  2. Step 2: Convert to fraction form
    138.38/191.03 = 105.20/x
  3. Step 3: Cross multiply
    138.38x = 191.03 × 105.20
  4. Step 4: Simplify right side
    138.38x = 20,096.48
  5. Step 5: Solve for x
    x = 20,096.48/138.38
  6. Step 6: Final answer
    x = 145.22

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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.