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Finding the Fourth Proportional to 83.08, 114.69 and 82.81

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Solution

The fourth proportional to 83.08, 114.69 and 82.81 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.08 : 114.69 = 82.81 : x
  2. Step 2: Convert to fraction form
    83.08/114.69 = 82.81/x
  3. Step 3: Cross multiply
    83.08x = 114.69 × 82.81
  4. Step 4: Simplify right side
    83.08x = 9,497.48
  5. Step 5: Solve for x
    x = 9,497.48/83.08
  6. Step 6: Final answer
    x = 114.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.