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Finding the Fourth Proportional to 120.19, 180.33 and 72.13

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Solution

The fourth proportional to 120.19, 180.33 and 72.13 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 180.33 = 72.13 : x
  2. Step 2: Convert to fraction form
    120.19/180.33 = 72.13/x
  3. Step 3: Cross multiply
    120.19x = 180.33 × 72.13
  4. Step 4: Simplify right side
    120.19x = 13,007.20
  5. Step 5: Solve for x
    x = 13,007.20/120.19
  6. Step 6: Final answer
    x = 108.22

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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.