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Finding the Fourth Proportional to 96.41, 132.64 and 93.68

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Solution

The fourth proportional to 96.41, 132.64 and 93.68 is: 128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.41 : 132.64 = 93.68 : x
  2. Step 2: Convert to fraction form
    96.41/132.64 = 93.68/x
  3. Step 3: Cross multiply
    96.41x = 132.64 × 93.68
  4. Step 4: Simplify right side
    96.41x = 12,425.05
  5. Step 5: Solve for x
    x = 12,425.05/96.41
  6. Step 6: Final answer
    x = 128.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.