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Finding the Fourth Proportional to 120.86, 181.19 and 80.18

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Solution

The fourth proportional to 120.86, 181.19 and 80.18 is: 120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 181.19 = 80.18 : x
  2. Step 2: Convert to fraction form
    120.86/181.19 = 80.18/x
  3. Step 3: Cross multiply
    120.86x = 181.19 × 80.18
  4. Step 4: Simplify right side
    120.86x = 14,527.81
  5. Step 5: Solve for x
    x = 14,527.81/120.86
  6. Step 6: Final answer
    x = 120.20

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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.