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Finding the Fourth Proportional to 148.14, 221.82 and 113.82

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Solution

The fourth proportional to 148.14, 221.82 and 113.82 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 221.82 = 113.82 : x
  2. Step 2: Convert to fraction form
    148.14/221.82 = 113.82/x
  3. Step 3: Cross multiply
    148.14x = 221.82 × 113.82
  4. Step 4: Simplify right side
    148.14x = 25,247.55
  5. Step 5: Solve for x
    x = 25,247.55/148.14
  6. Step 6: Final answer
    x = 170.43

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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.