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Finding the Fourth Proportional to 98.78, 148.28 and 71.84

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Solution

The fourth proportional to 98.78, 148.28 and 71.84 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 148.28 = 71.84 : x
  2. Step 2: Convert to fraction form
    98.78/148.28 = 71.84/x
  3. Step 3: Cross multiply
    98.78x = 148.28 × 71.84
  4. Step 4: Simplify right side
    98.78x = 10,652.45
  5. Step 5: Solve for x
    x = 10,652.45/98.78
  6. Step 6: Final answer
    x = 107.85

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