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Finding the Fourth Proportional to 144.72, 216.63 and 108.09

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Solution

The fourth proportional to 144.72, 216.63 and 108.09 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 216.63 = 108.09 : x
  2. Step 2: Convert to fraction form
    144.72/216.63 = 108.09/x
  3. Step 3: Cross multiply
    144.72x = 216.63 × 108.09
  4. Step 4: Simplify right side
    144.72x = 23,415.54
  5. Step 5: Solve for x
    x = 23,415.54/144.72
  6. Step 6: Final answer
    x = 161.80

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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.