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Finding the Fourth Proportional to 101.92, 140.83 and 77.31

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Solution

The fourth proportional to 101.92, 140.83 and 77.31 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 140.83 = 77.31 : x
  2. Step 2: Convert to fraction form
    101.92/140.83 = 77.31/x
  3. Step 3: Cross multiply
    101.92x = 140.83 × 77.31
  4. Step 4: Simplify right side
    101.92x = 10,887.57
  5. Step 5: Solve for x
    x = 10,887.57/101.92
  6. Step 6: Final answer
    x = 106.82

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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.