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Finding the Fourth Proportional to 123.61, 185.40 and 77.82

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Solution

The fourth proportional to 123.61, 185.40 and 77.82 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.61 : 185.40 = 77.82 : x
  2. Step 2: Convert to fraction form
    123.61/185.40 = 77.82/x
  3. Step 3: Cross multiply
    123.61x = 185.40 × 77.82
  4. Step 4: Simplify right side
    123.61x = 14,428.82
  5. Step 5: Solve for x
    x = 14,428.82/123.61
  6. Step 6: Final answer
    x = 116.73

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