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Finding the Fourth Proportional to 138.24, 189.77 and 133.38

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Solution

The fourth proportional to 138.24, 189.77 and 133.38 is: 183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 189.77 = 133.38 : x
  2. Step 2: Convert to fraction form
    138.24/189.77 = 133.38/x
  3. Step 3: Cross multiply
    138.24x = 189.77 × 133.38
  4. Step 4: Simplify right side
    138.24x = 25,310.86
  5. Step 5: Solve for x
    x = 25,310.86/138.24
  6. Step 6: Final answer
    x = 183.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.