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Finding the Fourth Proportional to 98.53, 135.84 and 83.74

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Solution

The fourth proportional to 98.53, 135.84 and 83.74 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 135.84 = 83.74 : x
  2. Step 2: Convert to fraction form
    98.53/135.84 = 83.74/x
  3. Step 3: Cross multiply
    98.53x = 135.84 × 83.74
  4. Step 4: Simplify right side
    98.53x = 11,375.24
  5. Step 5: Solve for x
    x = 11,375.24/98.53
  6. Step 6: Final answer
    x = 115.45

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