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Finding the Fourth Proportional to 82.12, 112.57 and 81.96

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Solution

The fourth proportional to 82.12, 112.57 and 81.96 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 112.57 = 81.96 : x
  2. Step 2: Convert to fraction form
    82.12/112.57 = 81.96/x
  3. Step 3: Cross multiply
    82.12x = 112.57 × 81.96
  4. Step 4: Simplify right side
    82.12x = 9,226.24
  5. Step 5: Solve for x
    x = 9,226.24/82.12
  6. Step 6: Final answer
    x = 112.35

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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.