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Finding the Fourth Proportional to 138.71, 191.34 and 92.13

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Solution

The fourth proportional to 138.71, 191.34 and 92.13 is: 127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 191.34 = 92.13 : x
  2. Step 2: Convert to fraction form
    138.71/191.34 = 92.13/x
  3. Step 3: Cross multiply
    138.71x = 191.34 × 92.13
  4. Step 4: Simplify right side
    138.71x = 17,628.15
  5. Step 5: Solve for x
    x = 17,628.15/138.71
  6. Step 6: Final answer
    x = 127.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.