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Finding the Fourth Proportional to 138.96, 208.42 and 36.24

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Solution

The fourth proportional to 138.96, 208.42 and 36.24 is: 54.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.96 : 208.42 = 36.24 : x
  2. Step 2: Convert to fraction form
    138.96/208.42 = 36.24/x
  3. Step 3: Cross multiply
    138.96x = 208.42 × 36.24
  4. Step 4: Simplify right side
    138.96x = 7,553.14
  5. Step 5: Solve for x
    x = 7,553.14/138.96
  6. Step 6: Final answer
    x = 54.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.