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Finding the Fourth Proportional to 148.92, 205.30 and 122.60

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Solution

The fourth proportional to 148.92, 205.30 and 122.60 is: 169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 205.30 = 122.60 : x
  2. Step 2: Convert to fraction form
    148.92/205.30 = 122.60/x
  3. Step 3: Cross multiply
    148.92x = 205.30 × 122.60
  4. Step 4: Simplify right side
    148.92x = 25,169.78
  5. Step 5: Solve for x
    x = 25,169.78/148.92
  6. Step 6: Final answer
    x = 169.02

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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.