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Finding the Fourth Proportional to 98.78, 148.07 and 71.85

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Solution

The fourth proportional to 98.78, 148.07 and 71.85 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.78 : 148.07 = 71.85 : x
  2. Step 2: Convert to fraction form
    98.78/148.07 = 71.85/x
  3. Step 3: Cross multiply
    98.78x = 148.07 × 71.85
  4. Step 4: Simplify right side
    98.78x = 10,638.83
  5. Step 5: Solve for x
    x = 10,638.83/98.78
  6. Step 6: Final answer
    x = 107.70

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