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Finding the Fourth Proportional to 95.43, 131.43 and 82.29

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Solution

The fourth proportional to 95.43, 131.43 and 82.29 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.43 : 131.43 = 82.29 : x
  2. Step 2: Convert to fraction form
    95.43/131.43 = 82.29/x
  3. Step 3: Cross multiply
    95.43x = 131.43 × 82.29
  4. Step 4: Simplify right side
    95.43x = 10,815.37
  5. Step 5: Solve for x
    x = 10,815.37/95.43
  6. Step 6: Final answer
    x = 113.33

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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.