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Finding the Fourth Proportional to 92.82, 127.76 and 81.21

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Solution

The fourth proportional to 92.82, 127.76 and 81.21 is: 111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 127.76 = 81.21 : x
  2. Step 2: Convert to fraction form
    92.82/127.76 = 81.21/x
  3. Step 3: Cross multiply
    92.82x = 127.76 × 81.21
  4. Step 4: Simplify right side
    92.82x = 10,374.98
  5. Step 5: Solve for x
    x = 10,374.98/92.82
  6. Step 6: Final answer
    x = 111.78

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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.