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Finding the Fourth Proportional to 85.08, 126.80 and 82.59

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Solution

The fourth proportional to 85.08, 126.80 and 82.59 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 126.80 = 82.59 : x
  2. Step 2: Convert to fraction form
    85.08/126.80 = 82.59/x
  3. Step 3: Cross multiply
    85.08x = 126.80 × 82.59
  4. Step 4: Simplify right side
    85.08x = 10,472.41
  5. Step 5: Solve for x
    x = 10,472.41/85.08
  6. Step 6: Final answer
    x = 123.09

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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.