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Finding the Fourth Proportional to 82.84, 124.26 and 81.84

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Solution

The fourth proportional to 82.84, 124.26 and 81.84 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.26 = 81.84 : x
  2. Step 2: Convert to fraction form
    82.84/124.26 = 81.84/x
  3. Step 3: Cross multiply
    82.84x = 124.26 × 81.84
  4. Step 4: Simplify right side
    82.84x = 10,169.44
  5. Step 5: Solve for x
    x = 10,169.44/82.84
  6. Step 6: Final answer
    x = 122.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.