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Finding the Fourth Proportional to 138.62, 190.70 and 134.78

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Solution

The fourth proportional to 138.62, 190.70 and 134.78 is: 185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 190.70 = 134.78 : x
  2. Step 2: Convert to fraction form
    138.62/190.70 = 134.78/x
  3. Step 3: Cross multiply
    138.62x = 190.70 × 134.78
  4. Step 4: Simplify right side
    138.62x = 25,700.92
  5. Step 5: Solve for x
    x = 25,700.92/138.62
  6. Step 6: Final answer
    x = 185.41

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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.