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Finding the Fourth Proportional to 96.04, 132.34 and 66.88

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Solution

The fourth proportional to 96.04, 132.34 and 66.88 is: 92.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.04 : 132.34 = 66.88 : x
  2. Step 2: Convert to fraction form
    96.04/132.34 = 66.88/x
  3. Step 3: Cross multiply
    96.04x = 132.34 × 66.88
  4. Step 4: Simplify right side
    96.04x = 8,850.90
  5. Step 5: Solve for x
    x = 8,850.90/96.04
  6. Step 6: Final answer
    x = 92.16

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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.