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Finding the Fourth Proportional to 149.09, 205.47 and 112.23

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Solution

The fourth proportional to 149.09, 205.47 and 112.23 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 205.47 = 112.23 : x
  2. Step 2: Convert to fraction form
    149.09/205.47 = 112.23/x
  3. Step 3: Cross multiply
    149.09x = 205.47 × 112.23
  4. Step 4: Simplify right side
    149.09x = 23,059.90
  5. Step 5: Solve for x
    x = 23,059.90/149.09
  6. Step 6: Final answer
    x = 154.68

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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.