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Finding the Fourth Proportional to 138.49, 191.10 and 76.31

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Solution

The fourth proportional to 138.49, 191.10 and 76.31 is: 105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.49 : 191.10 = 76.31 : x
  2. Step 2: Convert to fraction form
    138.49/191.10 = 76.31/x
  3. Step 3: Cross multiply
    138.49x = 191.10 × 76.31
  4. Step 4: Simplify right side
    138.49x = 14,583.37
  5. Step 5: Solve for x
    x = 14,583.37/138.49
  6. Step 6: Final answer
    x = 105.31

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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.