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Finding the Fourth Proportional to 95.53, 131.69 and 80.04

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Solution

The fourth proportional to 95.53, 131.69 and 80.04 is: 110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.53 : 131.69 = 80.04 : x
  2. Step 2: Convert to fraction form
    95.53/131.69 = 80.04/x
  3. Step 3: Cross multiply
    95.53x = 131.69 × 80.04
  4. Step 4: Simplify right side
    95.53x = 10,540.47
  5. Step 5: Solve for x
    x = 10,540.47/95.53
  6. Step 6: Final answer
    x = 110.34

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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.