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Finding the Fourth Proportional to 138.12, 190.44 and 125.79

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Solution

The fourth proportional to 138.12, 190.44 and 125.79 is: 173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 190.44 = 125.79 : x
  2. Step 2: Convert to fraction form
    138.12/190.44 = 125.79/x
  3. Step 3: Cross multiply
    138.12x = 190.44 × 125.79
  4. Step 4: Simplify right side
    138.12x = 23,955.45
  5. Step 5: Solve for x
    x = 23,955.45/138.12
  6. Step 6: Final answer
    x = 173.44

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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.