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Finding the Fourth Proportional to 138.38, 189.57 and 133.18

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Solution

The fourth proportional to 138.38, 189.57 and 133.18 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 189.57 = 133.18 : x
  2. Step 2: Convert to fraction form
    138.38/189.57 = 133.18/x
  3. Step 3: Cross multiply
    138.38x = 189.57 × 133.18
  4. Step 4: Simplify right side
    138.38x = 25,246.21
  5. Step 5: Solve for x
    x = 25,246.21/138.38
  6. Step 6: Final answer
    x = 182.45

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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.