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Finding the Fourth Proportional to 92.71, 127.61 and 82.28

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Solution

The fourth proportional to 92.71, 127.61 and 82.28 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.71 : 127.61 = 82.28 : x
  2. Step 2: Convert to fraction form
    92.71/127.61 = 82.28/x
  3. Step 3: Cross multiply
    92.71x = 127.61 × 82.28
  4. Step 4: Simplify right side
    92.71x = 10,499.97
  5. Step 5: Solve for x
    x = 10,499.97/92.71
  6. Step 6: Final answer
    x = 113.25

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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.