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Finding the Fourth Proportional to 142.09, 213.18 and 59.82

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Solution

The fourth proportional to 142.09, 213.18 and 59.82 is: 89.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 213.18 = 59.82 : x
  2. Step 2: Convert to fraction form
    142.09/213.18 = 59.82/x
  3. Step 3: Cross multiply
    142.09x = 213.18 × 59.82
  4. Step 4: Simplify right side
    142.09x = 12,753.12
  5. Step 5: Solve for x
    x = 12,753.12/142.09
  6. Step 6: Final answer
    x = 89.75

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