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Finding the Fourth Proportional to 100.02, 149.83 and 45.84

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Solution

The fourth proportional to 100.02, 149.83 and 45.84 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 149.83 = 45.84 : x
  2. Step 2: Convert to fraction form
    100.02/149.83 = 45.84/x
  3. Step 3: Cross multiply
    100.02x = 149.83 × 45.84
  4. Step 4: Simplify right side
    100.02x = 6,868.21
  5. Step 5: Solve for x
    x = 6,868.21/100.02
  6. Step 6: Final answer
    x = 68.67

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