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Finding the Fourth Proportional to 138.96, 191.82 and 100.20

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Solution

The fourth proportional to 138.96, 191.82 and 100.20 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 191.82 = 100.20 : x
  2. Step 2: Convert to fraction form
    138.96/191.82 = 100.20/x
  3. Step 3: Cross multiply
    138.96x = 191.82 × 100.20
  4. Step 4: Simplify right side
    138.96x = 19,220.36
  5. Step 5: Solve for x
    x = 19,220.36/138.96
  6. Step 6: Final answer
    x = 138.32

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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.