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Finding the Fourth Proportional to 149.46, 205.97 and 123.11

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Solution

The fourth proportional to 149.46, 205.97 and 123.11 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 205.97 = 123.11 : x
  2. Step 2: Convert to fraction form
    149.46/205.97 = 123.11/x
  3. Step 3: Cross multiply
    149.46x = 205.97 × 123.11
  4. Step 4: Simplify right side
    149.46x = 25,355.32
  5. Step 5: Solve for x
    x = 25,355.32/149.46
  6. Step 6: Final answer
    x = 169.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.