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Finding the Fourth Proportional to 96, 144 and 53.25

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Solution

The fourth proportional to 96, 144 and 53.25 is: 79.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 144 = 53.25 : x
  2. Step 2: Convert to fraction form
    96/144 = 53.25/x
  3. Step 3: Cross multiply
    96x = 144 × 53.25
  4. Step 4: Simplify right side
    96x = 7,668
  5. Step 5: Solve for x
    x = 7,668/96
  6. Step 6: Final answer
    x = 79.88

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