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Finding the Fourth Proportional to 147.26, 220.85 and 44.54

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Solution

The fourth proportional to 147.26, 220.85 and 44.54 is: 66.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.26 : 220.85 = 44.54 : x
  2. Step 2: Convert to fraction form
    147.26/220.85 = 44.54/x
  3. Step 3: Cross multiply
    147.26x = 220.85 × 44.54
  4. Step 4: Simplify right side
    147.26x = 9,835.33
  5. Step 5: Solve for x
    x = 9,835.33/147.26
  6. Step 6: Final answer
    x = 66.79

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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.