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Finding the Fourth Proportional to 148.06, 221.88 and 109.24

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Solution

The fourth proportional to 148.06, 221.88 and 109.24 is: 163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 221.88 = 109.24 : x
  2. Step 2: Convert to fraction form
    148.06/221.88 = 109.24/x
  3. Step 3: Cross multiply
    148.06x = 221.88 × 109.24
  4. Step 4: Simplify right side
    148.06x = 24,238.17
  5. Step 5: Solve for x
    x = 24,238.17/148.06
  6. Step 6: Final answer
    x = 163.71

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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.