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Finding the Fourth Proportional to 92.45, 127.59 and 82.11

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Solution

The fourth proportional to 92.45, 127.59 and 82.11 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.45 : 127.59 = 82.11 : x
  2. Step 2: Convert to fraction form
    92.45/127.59 = 82.11/x
  3. Step 3: Cross multiply
    92.45x = 127.59 × 82.11
  4. Step 4: Simplify right side
    92.45x = 10,476.41
  5. Step 5: Solve for x
    x = 10,476.41/92.45
  6. Step 6: Final answer
    x = 113.33

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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.