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Finding the Fourth Proportional to 145.86, 201.24 and 96.78

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Solution

The fourth proportional to 145.86, 201.24 and 96.78 is: 133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 201.24 = 96.78 : x
  2. Step 2: Convert to fraction form
    145.86/201.24 = 96.78/x
  3. Step 3: Cross multiply
    145.86x = 201.24 × 96.78
  4. Step 4: Simplify right side
    145.86x = 19,476.01
  5. Step 5: Solve for x
    x = 19,476.01/145.86
  6. Step 6: Final answer
    x = 133.53

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