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Finding the Fourth Proportional to 85.26, 127.62 and 72.44

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Solution

The fourth proportional to 85.26, 127.62 and 72.44 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.26 : 127.62 = 72.44 : x
  2. Step 2: Convert to fraction form
    85.26/127.62 = 72.44/x
  3. Step 3: Cross multiply
    85.26x = 127.62 × 72.44
  4. Step 4: Simplify right side
    85.26x = 9,244.15
  5. Step 5: Solve for x
    x = 9,244.15/85.26
  6. Step 6: Final answer
    x = 108.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.