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Finding the Fourth Proportional to 104.26, 143.84 and 82.14

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Solution

The fourth proportional to 104.26, 143.84 and 82.14 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.26 : 143.84 = 82.14 : x
  2. Step 2: Convert to fraction form
    104.26/143.84 = 82.14/x
  3. Step 3: Cross multiply
    104.26x = 143.84 × 82.14
  4. Step 4: Simplify right side
    104.26x = 11,815.02
  5. Step 5: Solve for x
    x = 11,815.02/104.26
  6. Step 6: Final answer
    x = 113.32

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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.