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Finding the Fourth Proportional to 95.64, 131.72 and 82.44

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Solution

The fourth proportional to 95.64, 131.72 and 82.44 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 131.72 = 82.44 : x
  2. Step 2: Convert to fraction form
    95.64/131.72 = 82.44/x
  3. Step 3: Cross multiply
    95.64x = 131.72 × 82.44
  4. Step 4: Simplify right side
    95.64x = 10,858.58
  5. Step 5: Solve for x
    x = 10,858.58/95.64
  6. Step 6: Final answer
    x = 113.54

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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.