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Finding the Fourth Proportional to 138.98, 191.79 and 76.81

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Solution

The fourth proportional to 138.98, 191.79 and 76.81 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.98 : 191.79 = 76.81 : x
  2. Step 2: Convert to fraction form
    138.98/191.79 = 76.81/x
  3. Step 3: Cross multiply
    138.98x = 191.79 × 76.81
  4. Step 4: Simplify right side
    138.98x = 14,730.62
  5. Step 5: Solve for x
    x = 14,730.62/138.98
  6. Step 6: Final answer
    x = 105.99

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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.