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Finding the Fourth Proportional to 148.12, 222.17 and 107.03

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Solution

The fourth proportional to 148.12, 222.17 and 107.03 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.12 : 222.17 = 107.03 : x
  2. Step 2: Convert to fraction form
    148.12/222.17 = 107.03/x
  3. Step 3: Cross multiply
    148.12x = 222.17 × 107.03
  4. Step 4: Simplify right side
    148.12x = 23,778.01
  5. Step 5: Solve for x
    x = 23,778.01/148.12
  6. Step 6: Final answer
    x = 160.53

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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.