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Finding the Fourth Proportional to 95.96, 144.09 and 75.60

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Solution

The fourth proportional to 95.96, 144.09 and 75.60 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 144.09 = 75.60 : x
  2. Step 2: Convert to fraction form
    95.96/144.09 = 75.60/x
  3. Step 3: Cross multiply
    95.96x = 144.09 × 75.60
  4. Step 4: Simplify right side
    95.96x = 10,893.20
  5. Step 5: Solve for x
    x = 10,893.20/95.96
  6. Step 6: Final answer
    x = 113.52

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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.