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Finding the Fourth Proportional to 114.75, 158.22 and 77.76

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Solution

The fourth proportional to 114.75, 158.22 and 77.76 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 158.22 = 77.76 : x
  2. Step 2: Convert to fraction form
    114.75/158.22 = 77.76/x
  3. Step 3: Cross multiply
    114.75x = 158.22 × 77.76
  4. Step 4: Simplify right side
    114.75x = 12,303.19
  5. Step 5: Solve for x
    x = 12,303.19/114.75
  6. Step 6: Final answer
    x = 107.22

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