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Finding the Fourth Proportional to 96.32, 133 and 63.64

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Solution

The fourth proportional to 96.32, 133 and 63.64 is: 87.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 133 = 63.64 : x
  2. Step 2: Convert to fraction form
    96.32/133 = 63.64/x
  3. Step 3: Cross multiply
    96.32x = 133 × 63.64
  4. Step 4: Simplify right side
    96.32x = 8,464.12
  5. Step 5: Solve for x
    x = 8,464.12/96.32
  6. Step 6: Final answer
    x = 87.88

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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.