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Finding the Fourth Proportional to 95.02, 131.16 and 84.22

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Solution

The fourth proportional to 95.02, 131.16 and 84.22 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.02 : 131.16 = 84.22 : x
  2. Step 2: Convert to fraction form
    95.02/131.16 = 84.22/x
  3. Step 3: Cross multiply
    95.02x = 131.16 × 84.22
  4. Step 4: Simplify right side
    95.02x = 11,046.30
  5. Step 5: Solve for x
    x = 11,046.30/95.02
  6. Step 6: Final answer
    x = 116.25

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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.