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Finding the Fourth Proportional to 138.41, 190.80 and 85.92

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Solution

The fourth proportional to 138.41, 190.80 and 85.92 is: 118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.41 : 190.80 = 85.92 : x
  2. Step 2: Convert to fraction form
    138.41/190.80 = 85.92/x
  3. Step 3: Cross multiply
    138.41x = 190.80 × 85.92
  4. Step 4: Simplify right side
    138.41x = 16,393.54
  5. Step 5: Solve for x
    x = 16,393.54/138.41
  6. Step 6: Final answer
    x = 118.45

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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.