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Finding the Fourth Proportional to 42.78, 64.16 and 15.71

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Solution

The fourth proportional to 42.78, 64.16 and 15.71 is: 23.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.78 : 64.16 = 15.71 : x
  2. Step 2: Convert to fraction form
    42.78/64.16 = 15.71/x
  3. Step 3: Cross multiply
    42.78x = 64.16 × 15.71
  4. Step 4: Simplify right side
    42.78x = 1,007.95
  5. Step 5: Solve for x
    x = 1,007.95/42.78
  6. Step 6: Final answer
    x = 23.56

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