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Finding the Fourth Proportional to 102.06, 152.82 and 74.70

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Solution

The fourth proportional to 102.06, 152.82 and 74.70 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.82 = 74.70 : x
  2. Step 2: Convert to fraction form
    102.06/152.82 = 74.70/x
  3. Step 3: Cross multiply
    102.06x = 152.82 × 74.70
  4. Step 4: Simplify right side
    102.06x = 11,415.65
  5. Step 5: Solve for x
    x = 11,415.65/102.06
  6. Step 6: Final answer
    x = 111.85

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