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Finding the Fourth Proportional to 148.39, 222.25 and 105.11

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Solution

The fourth proportional to 148.39, 222.25 and 105.11 is: 157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.39 : 222.25 = 105.11 : x
  2. Step 2: Convert to fraction form
    148.39/222.25 = 105.11/x
  3. Step 3: Cross multiply
    148.39x = 222.25 × 105.11
  4. Step 4: Simplify right side
    148.39x = 23,360.70
  5. Step 5: Solve for x
    x = 23,360.70/148.39
  6. Step 6: Final answer
    x = 157.43

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Why These Related Problems?

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