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Finding the Fourth Proportional to 85.46, 127.31 and 82.76

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Solution

The fourth proportional to 85.46, 127.31 and 82.76 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.46 : 127.31 = 82.76 : x
  2. Step 2: Convert to fraction form
    85.46/127.31 = 82.76/x
  3. Step 3: Cross multiply
    85.46x = 127.31 × 82.76
  4. Step 4: Simplify right side
    85.46x = 10,535.13
  5. Step 5: Solve for x
    x = 10,535.13/85.46
  6. Step 6: Final answer
    x = 123.28

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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.