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Finding the Fourth Proportional to 102.06, 152.96 and 47.99

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Solution

The fourth proportional to 102.06, 152.96 and 47.99 is: 71.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.96 = 47.99 : x
  2. Step 2: Convert to fraction form
    102.06/152.96 = 47.99/x
  3. Step 3: Cross multiply
    102.06x = 152.96 × 47.99
  4. Step 4: Simplify right side
    102.06x = 7,340.69
  5. Step 5: Solve for x
    x = 7,340.69/102.06
  6. Step 6: Final answer
    x = 71.93

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