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Finding the Fourth Proportional to 120.89, 181.29 and 72.19

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Solution

The fourth proportional to 120.89, 181.29 and 72.19 is: 108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.89 : 181.29 = 72.19 : x
  2. Step 2: Convert to fraction form
    120.89/181.29 = 72.19/x
  3. Step 3: Cross multiply
    120.89x = 181.29 × 72.19
  4. Step 4: Simplify right side
    120.89x = 13,087.42
  5. Step 5: Solve for x
    x = 13,087.42/120.89
  6. Step 6: Final answer
    x = 108.26

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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.