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Finding the Fourth Proportional to 180.43, 270.64 and 72.19

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Solution

The fourth proportional to 180.43, 270.64 and 72.19 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 270.64 = 72.19 : x
  2. Step 2: Convert to fraction form
    180.43/270.64 = 72.19/x
  3. Step 3: Cross multiply
    180.43x = 270.64 × 72.19
  4. Step 4: Simplify right side
    180.43x = 19,537.93
  5. Step 5: Solve for x
    x = 19,537.93/180.43
  6. Step 6: Final answer
    x = 108.29

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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.