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Finding the Fourth Proportional to 85.26, 126.98 and 82.32

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Solution

The fourth proportional to 85.26, 126.98 and 82.32 is: 122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.26 : 126.98 = 82.32 : x
  2. Step 2: Convert to fraction form
    85.26/126.98 = 82.32/x
  3. Step 3: Cross multiply
    85.26x = 126.98 × 82.32
  4. Step 4: Simplify right side
    85.26x = 10,452.58
  5. Step 5: Solve for x
    x = 10,452.58/85.26
  6. Step 6: Final answer
    x = 122.60

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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.