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Finding the Fourth Proportional to 86.26, 118.94 and 59.24

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Solution

The fourth proportional to 86.26, 118.94 and 59.24 is: 81.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.26 : 118.94 = 59.24 : x
  2. Step 2: Convert to fraction form
    86.26/118.94 = 59.24/x
  3. Step 3: Cross multiply
    86.26x = 118.94 × 59.24
  4. Step 4: Simplify right side
    86.26x = 7,046.01
  5. Step 5: Solve for x
    x = 7,046.01/86.26
  6. Step 6: Final answer
    x = 81.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.