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Finding the Fourth Proportional to 138.25, 207.42 and 76.63

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Solution

The fourth proportional to 138.25, 207.42 and 76.63 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.25 : 207.42 = 76.63 : x
  2. Step 2: Convert to fraction form
    138.25/207.42 = 76.63/x
  3. Step 3: Cross multiply
    138.25x = 207.42 × 76.63
  4. Step 4: Simplify right side
    138.25x = 15,894.59
  5. Step 5: Solve for x
    x = 15,894.59/138.25
  6. Step 6: Final answer
    x = 114.97

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