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Finding the Fourth Proportional to 96.46, 144.64 and 38.64

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Solution

The fourth proportional to 96.46, 144.64 and 38.64 is: 57.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.46 : 144.64 = 38.64 : x
  2. Step 2: Convert to fraction form
    96.46/144.64 = 38.64/x
  3. Step 3: Cross multiply
    96.46x = 144.64 × 38.64
  4. Step 4: Simplify right side
    96.46x = 5,588.89
  5. Step 5: Solve for x
    x = 5,588.89/96.46
  6. Step 6: Final answer
    x = 57.94

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