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Finding the Fourth Proportional to 96.02, 132.46 and 66.86

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Solution

The fourth proportional to 96.02, 132.46 and 66.86 is: 92.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 132.46 = 66.86 : x
  2. Step 2: Convert to fraction form
    96.02/132.46 = 66.86/x
  3. Step 3: Cross multiply
    96.02x = 132.46 × 66.86
  4. Step 4: Simplify right side
    96.02x = 8,856.28
  5. Step 5: Solve for x
    x = 8,856.28/96.02
  6. Step 6: Final answer
    x = 92.23

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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.