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Finding the Fourth Proportional to 95.09, 131.27 and 75.78

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Solution

The fourth proportional to 95.09, 131.27 and 75.78 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.09 : 131.27 = 75.78 : x
  2. Step 2: Convert to fraction form
    95.09/131.27 = 75.78/x
  3. Step 3: Cross multiply
    95.09x = 131.27 × 75.78
  4. Step 4: Simplify right side
    95.09x = 9,947.26
  5. Step 5: Solve for x
    x = 9,947.26/95.09
  6. Step 6: Final answer
    x = 104.61

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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.