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Finding the Fourth Proportional to 149.82, 206.74 and 87.65

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Solution

The fourth proportional to 149.82, 206.74 and 87.65 is: 120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 206.74 = 87.65 : x
  2. Step 2: Convert to fraction form
    149.82/206.74 = 87.65/x
  3. Step 3: Cross multiply
    149.82x = 206.74 × 87.65
  4. Step 4: Simplify right side
    149.82x = 18,120.76
  5. Step 5: Solve for x
    x = 18,120.76/149.82
  6. Step 6: Final answer
    x = 120.95

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