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Finding the Fourth Proportional to 85.27, 127.22 and 82.80

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Solution

The fourth proportional to 85.27, 127.22 and 82.80 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.27 : 127.22 = 82.80 : x
  2. Step 2: Convert to fraction form
    85.27/127.22 = 82.80/x
  3. Step 3: Cross multiply
    85.27x = 127.22 × 82.80
  4. Step 4: Simplify right side
    85.27x = 10,533.82
  5. Step 5: Solve for x
    x = 10,533.82/85.27
  6. Step 6: Final answer
    x = 123.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.