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Finding the Fourth Proportional to 95.75, 132.22 and 84.23

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Solution

The fourth proportional to 95.75, 132.22 and 84.23 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 132.22 = 84.23 : x
  2. Step 2: Convert to fraction form
    95.75/132.22 = 84.23/x
  3. Step 3: Cross multiply
    95.75x = 132.22 × 84.23
  4. Step 4: Simplify right side
    95.75x = 11,136.89
  5. Step 5: Solve for x
    x = 11,136.89/95.75
  6. Step 6: Final answer
    x = 116.31

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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.