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Finding the Fourth Proportional to 96.53, 133.02 and 75.75

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Solution

The fourth proportional to 96.53, 133.02 and 75.75 is: 104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 133.02 = 75.75 : x
  2. Step 2: Convert to fraction form
    96.53/133.02 = 75.75/x
  3. Step 3: Cross multiply
    96.53x = 133.02 × 75.75
  4. Step 4: Simplify right side
    96.53x = 10,076.27
  5. Step 5: Solve for x
    x = 10,076.27/96.53
  6. Step 6: Final answer
    x = 104.39

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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.