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Finding the Fourth Proportional to 81.06, 111.87 and 77.34

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Solution

The fourth proportional to 81.06, 111.87 and 77.34 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.06 : 111.87 = 77.34 : x
  2. Step 2: Convert to fraction form
    81.06/111.87 = 77.34/x
  3. Step 3: Cross multiply
    81.06x = 111.87 × 77.34
  4. Step 4: Simplify right side
    81.06x = 8,652.03
  5. Step 5: Solve for x
    x = 8,652.03/81.06
  6. Step 6: Final answer
    x = 106.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.