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Finding the Fourth Proportional to 76.16, 114.32 and 41.96

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Solution

The fourth proportional to 76.16, 114.32 and 41.96 is: 62.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 114.32 = 41.96 : x
  2. Step 2: Convert to fraction form
    76.16/114.32 = 41.96/x
  3. Step 3: Cross multiply
    76.16x = 114.32 × 41.96
  4. Step 4: Simplify right side
    76.16x = 4,796.87
  5. Step 5: Solve for x
    x = 4,796.87/76.16
  6. Step 6: Final answer
    x = 62.98

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