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Finding the Fourth Proportional to 95.52, 131.86 and 73.75

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Solution

The fourth proportional to 95.52, 131.86 and 73.75 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.52 : 131.86 = 73.75 : x
  2. Step 2: Convert to fraction form
    95.52/131.86 = 73.75/x
  3. Step 3: Cross multiply
    95.52x = 131.86 × 73.75
  4. Step 4: Simplify right side
    95.52x = 9,724.68
  5. Step 5: Solve for x
    x = 9,724.68/95.52
  6. Step 6: Final answer
    x = 101.81

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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.