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Finding the Fourth Proportional to 82.20, 112.91 and 67.64

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Solution

The fourth proportional to 82.20, 112.91 and 67.64 is: 92.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 112.91 = 67.64 : x
  2. Step 2: Convert to fraction form
    82.20/112.91 = 67.64/x
  3. Step 3: Cross multiply
    82.20x = 112.91 × 67.64
  4. Step 4: Simplify right side
    82.20x = 7,637.23
  5. Step 5: Solve for x
    x = 7,637.23/82.20
  6. Step 6: Final answer
    x = 92.91

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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.