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Finding the Fourth Proportional to 116.42, 174.36 and 77.84

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Solution

The fourth proportional to 116.42, 174.36 and 77.84 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 174.36 = 77.84 : x
  2. Step 2: Convert to fraction form
    116.42/174.36 = 77.84/x
  3. Step 3: Cross multiply
    116.42x = 174.36 × 77.84
  4. Step 4: Simplify right side
    116.42x = 13,572.18
  5. Step 5: Solve for x
    x = 13,572.18/116.42
  6. Step 6: Final answer
    x = 116.58

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