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Finding the Fourth Proportional to 138.41, 191.04 and 83.20

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Solution

The fourth proportional to 138.41, 191.04 and 83.20 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.41 : 191.04 = 83.20 : x
  2. Step 2: Convert to fraction form
    138.41/191.04 = 83.20/x
  3. Step 3: Cross multiply
    138.41x = 191.04 × 83.20
  4. Step 4: Simplify right side
    138.41x = 15,894.53
  5. Step 5: Solve for x
    x = 15,894.53/138.41
  6. Step 6: Final answer
    x = 114.84

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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.