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Finding the Fourth Proportional to 95.58, 142.97 and 82.22

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Solution

The fourth proportional to 95.58, 142.97 and 82.22 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.58 : 142.97 = 82.22 : x
  2. Step 2: Convert to fraction form
    95.58/142.97 = 82.22/x
  3. Step 3: Cross multiply
    95.58x = 142.97 × 82.22
  4. Step 4: Simplify right side
    95.58x = 11,753.87
  5. Step 5: Solve for x
    x = 11,753.87/95.58
  6. Step 6: Final answer
    x = 122.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.