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Finding the Fourth Proportional to 148.38, 222.61 and 71.33

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Solution

The fourth proportional to 148.38, 222.61 and 71.33 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 222.61 = 71.33 : x
  2. Step 2: Convert to fraction form
    148.38/222.61 = 71.33/x
  3. Step 3: Cross multiply
    148.38x = 222.61 × 71.33
  4. Step 4: Simplify right side
    148.38x = 15,878.77
  5. Step 5: Solve for x
    x = 15,878.77/148.38
  6. Step 6: Final answer
    x = 107.02

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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.