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Finding the Fourth Proportional to 96.53, 132.92 and 75.78

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Solution

The fourth proportional to 96.53, 132.92 and 75.78 is: 104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 132.92 = 75.78 : x
  2. Step 2: Convert to fraction form
    96.53/132.92 = 75.78/x
  3. Step 3: Cross multiply
    96.53x = 132.92 × 75.78
  4. Step 4: Simplify right side
    96.53x = 10,072.30
  5. Step 5: Solve for x
    x = 10,072.30/96.53
  6. Step 6: Final answer
    x = 104.35

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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.