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Finding the Fourth Proportional to 81.05, 111.76 and 76.49

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Solution

The fourth proportional to 81.05, 111.76 and 76.49 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.05 : 111.76 = 76.49 : x
  2. Step 2: Convert to fraction form
    81.05/111.76 = 76.49/x
  3. Step 3: Cross multiply
    81.05x = 111.76 × 76.49
  4. Step 4: Simplify right side
    81.05x = 8,548.52
  5. Step 5: Solve for x
    x = 8,548.52/81.05
  6. Step 6: Final answer
    x = 105.47

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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.