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Finding the Fourth Proportional to 82.42, 112.96 and 81.79

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Solution

The fourth proportional to 82.42, 112.96 and 81.79 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 112.96 = 81.79 : x
  2. Step 2: Convert to fraction form
    82.42/112.96 = 81.79/x
  3. Step 3: Cross multiply
    82.42x = 112.96 × 81.79
  4. Step 4: Simplify right side
    82.42x = 9,239.00
  5. Step 5: Solve for x
    x = 9,239.00/82.42
  6. Step 6: Final answer
    x = 112.10

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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.