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Finding the Fourth Proportional to 149.80, 224.42 and 85.48

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Solution

The fourth proportional to 149.80, 224.42 and 85.48 is: 128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 224.42 = 85.48 : x
  2. Step 2: Convert to fraction form
    149.80/224.42 = 85.48/x
  3. Step 3: Cross multiply
    149.80x = 224.42 × 85.48
  4. Step 4: Simplify right side
    149.80x = 19,183.42
  5. Step 5: Solve for x
    x = 19,183.42/149.80
  6. Step 6: Final answer
    x = 128.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.