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Finding the Fourth Proportional to 74.16, 102 and 65.28

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Solution

The fourth proportional to 74.16, 102 and 65.28 is: 89.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102 = 65.28 : x
  2. Step 2: Convert to fraction form
    74.16/102 = 65.28/x
  3. Step 3: Cross multiply
    74.16x = 102 × 65.28
  4. Step 4: Simplify right side
    74.16x = 6,658.56
  5. Step 5: Solve for x
    x = 6,658.56/74.16
  6. Step 6: Final answer
    x = 89.79

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