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Finding the Fourth Proportional to 138.77, 191.54 and 83.54

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Solution

The fourth proportional to 138.77, 191.54 and 83.54 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.77 : 191.54 = 83.54 : x
  2. Step 2: Convert to fraction form
    138.77/191.54 = 83.54/x
  3. Step 3: Cross multiply
    138.77x = 191.54 × 83.54
  4. Step 4: Simplify right side
    138.77x = 16,000.83
  5. Step 5: Solve for x
    x = 16,000.83/138.77
  6. Step 6: Final answer
    x = 115.30

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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.