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Finding the Fourth Proportional to 138.63, 191.47 and 107.92

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Solution

The fourth proportional to 138.63, 191.47 and 107.92 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.63 : 191.47 = 107.92 : x
  2. Step 2: Convert to fraction form
    138.63/191.47 = 107.92/x
  3. Step 3: Cross multiply
    138.63x = 191.47 × 107.92
  4. Step 4: Simplify right side
    138.63x = 20,663.44
  5. Step 5: Solve for x
    x = 20,663.44/138.63
  6. Step 6: Final answer
    x = 149.05

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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.