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Finding the Fourth Proportional to 142.77, 213.75 and 113.61

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Solution

The fourth proportional to 142.77, 213.75 and 113.61 is: 170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 213.75 = 113.61 : x
  2. Step 2: Convert to fraction form
    142.77/213.75 = 113.61/x
  3. Step 3: Cross multiply
    142.77x = 213.75 × 113.61
  4. Step 4: Simplify right side
    142.77x = 24,284.14
  5. Step 5: Solve for x
    x = 24,284.14/142.77
  6. Step 6: Final answer
    x = 170.09

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