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Finding the Fourth Proportional to 95.97, 132.23 and 75.32

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Solution

The fourth proportional to 95.97, 132.23 and 75.32 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.97 : 132.23 = 75.32 : x
  2. Step 2: Convert to fraction form
    95.97/132.23 = 75.32/x
  3. Step 3: Cross multiply
    95.97x = 132.23 × 75.32
  4. Step 4: Simplify right side
    95.97x = 9,958.53
  5. Step 5: Solve for x
    x = 9,958.53/95.97
  6. Step 6: Final answer
    x = 103.77

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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.