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Finding the Fourth Proportional to 82.34, 112.81 and 82.11

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Solution

The fourth proportional to 82.34, 112.81 and 82.11 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 112.81 = 82.11 : x
  2. Step 2: Convert to fraction form
    82.34/112.81 = 82.11/x
  3. Step 3: Cross multiply
    82.34x = 112.81 × 82.11
  4. Step 4: Simplify right side
    82.34x = 9,262.62
  5. Step 5: Solve for x
    x = 9,262.62/82.34
  6. Step 6: Final answer
    x = 112.50

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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.