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Finding the Fourth Proportional to 82.26, 112.77 and 81.32

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Solution

The fourth proportional to 82.26, 112.77 and 81.32 is: 111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 112.77 = 81.32 : x
  2. Step 2: Convert to fraction form
    82.26/112.77 = 81.32/x
  3. Step 3: Cross multiply
    82.26x = 112.77 × 81.32
  4. Step 4: Simplify right side
    82.26x = 9,169.89
  5. Step 5: Solve for x
    x = 9,169.89/82.26
  6. Step 6: Final answer
    x = 111.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.