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Finding the Fourth Proportional to 77.80, 116.64 and 29.74

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Solution

The fourth proportional to 77.80, 116.64 and 29.74 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 116.64 = 29.74 : x
  2. Step 2: Convert to fraction form
    77.80/116.64 = 29.74/x
  3. Step 3: Cross multiply
    77.80x = 116.64 × 29.74
  4. Step 4: Simplify right side
    77.80x = 3,468.87
  5. Step 5: Solve for x
    x = 3,468.87/77.80
  6. Step 6: Final answer
    x = 44.59

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