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Finding the Fourth Proportional to 99.80, 149.76 and 34.84

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Solution

The fourth proportional to 99.80, 149.76 and 34.84 is: 52.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.80 : 149.76 = 34.84 : x
  2. Step 2: Convert to fraction form
    99.80/149.76 = 34.84/x
  3. Step 3: Cross multiply
    99.80x = 149.76 × 34.84
  4. Step 4: Simplify right side
    99.80x = 5,217.64
  5. Step 5: Solve for x
    x = 5,217.64/99.80
  6. Step 6: Final answer
    x = 52.28

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