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Finding the Fourth Proportional to 144.34, 216.04 and 109.86

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Solution

The fourth proportional to 144.34, 216.04 and 109.86 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.34 : 216.04 = 109.86 : x
  2. Step 2: Convert to fraction form
    144.34/216.04 = 109.86/x
  3. Step 3: Cross multiply
    144.34x = 216.04 × 109.86
  4. Step 4: Simplify right side
    144.34x = 23,734.15
  5. Step 5: Solve for x
    x = 23,734.15/144.34
  6. Step 6: Final answer
    x = 164.43

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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.