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Finding the Fourth Proportional to 92.52, 127.49 and 82.67

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Solution

The fourth proportional to 92.52, 127.49 and 82.67 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 127.49 = 82.67 : x
  2. Step 2: Convert to fraction form
    92.52/127.49 = 82.67/x
  3. Step 3: Cross multiply
    92.52x = 127.49 × 82.67
  4. Step 4: Simplify right side
    92.52x = 10,539.17
  5. Step 5: Solve for x
    x = 10,539.17/92.52
  6. Step 6: Final answer
    x = 113.91

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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.