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Finding the Fourth Proportional to 82.40, 112.72 and 81.44

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Solution

The fourth proportional to 82.40, 112.72 and 81.44 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 112.72 = 81.44 : x
  2. Step 2: Convert to fraction form
    82.40/112.72 = 81.44/x
  3. Step 3: Cross multiply
    82.40x = 112.72 × 81.44
  4. Step 4: Simplify right side
    82.40x = 9,179.92
  5. Step 5: Solve for x
    x = 9,179.92/82.40
  6. Step 6: Final answer
    x = 111.41

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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.