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Finding the Fourth Proportional to 78.02, 116.94 and 55.14

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Solution

The fourth proportional to 78.02, 116.94 and 55.14 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 116.94 = 55.14 : x
  2. Step 2: Convert to fraction form
    78.02/116.94 = 55.14/x
  3. Step 3: Cross multiply
    78.02x = 116.94 × 55.14
  4. Step 4: Simplify right side
    78.02x = 6,448.07
  5. Step 5: Solve for x
    x = 6,448.07/78.02
  6. Step 6: Final answer
    x = 82.65

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