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Finding the Fourth Proportional to 96.02, 132.42 and 75.24

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Solution

The fourth proportional to 96.02, 132.42 and 75.24 is: 103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 132.42 = 75.24 : x
  2. Step 2: Convert to fraction form
    96.02/132.42 = 75.24/x
  3. Step 3: Cross multiply
    96.02x = 132.42 × 75.24
  4. Step 4: Simplify right side
    96.02x = 9,963.28
  5. Step 5: Solve for x
    x = 9,963.28/96.02
  6. Step 6: Final answer
    x = 103.76

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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.