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Finding the Fourth Proportional to 95.36, 131.84 and 83.20

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Solution

The fourth proportional to 95.36, 131.84 and 83.20 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.36 : 131.84 = 83.20 : x
  2. Step 2: Convert to fraction form
    95.36/131.84 = 83.20/x
  3. Step 3: Cross multiply
    95.36x = 131.84 × 83.20
  4. Step 4: Simplify right side
    95.36x = 10,969.09
  5. Step 5: Solve for x
    x = 10,969.09/95.36
  6. Step 6: Final answer
    x = 115.03

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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.