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Finding the Fourth Proportional to 83.13, 114.71 and 77.19

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Solution

The fourth proportional to 83.13, 114.71 and 77.19 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 114.71 = 77.19 : x
  2. Step 2: Convert to fraction form
    83.13/114.71 = 77.19/x
  3. Step 3: Cross multiply
    83.13x = 114.71 × 77.19
  4. Step 4: Simplify right side
    83.13x = 8,854.08
  5. Step 5: Solve for x
    x = 8,854.08/83.13
  6. Step 6: Final answer
    x = 106.51

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