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Finding the Fourth Proportional to 78.48, 108 and 77.58

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Solution

The fourth proportional to 78.48, 108 and 77.58 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 108 = 77.58 : x
  2. Step 2: Convert to fraction form
    78.48/108 = 77.58/x
  3. Step 3: Cross multiply
    78.48x = 108 × 77.58
  4. Step 4: Simplify right side
    78.48x = 8,378.64
  5. Step 5: Solve for x
    x = 8,378.64/78.48
  6. Step 6: Final answer
    x = 106.76

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