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Finding the Fourth Proportional to 92.70, 127.89 and 82.26

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Solution

The fourth proportional to 92.70, 127.89 and 82.26 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.70 : 127.89 = 82.26 : x
  2. Step 2: Convert to fraction form
    92.70/127.89 = 82.26/x
  3. Step 3: Cross multiply
    92.70x = 127.89 × 82.26
  4. Step 4: Simplify right side
    92.70x = 10,520.23
  5. Step 5: Solve for x
    x = 10,520.23/92.70
  6. Step 6: Final answer
    x = 113.49

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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.