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Finding the Fourth Proportional to 120.79, 181.26 and 100.18

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Solution

The fourth proportional to 120.79, 181.26 and 100.18 is: 150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.79 : 181.26 = 100.18 : x
  2. Step 2: Convert to fraction form
    120.79/181.26 = 100.18/x
  3. Step 3: Cross multiply
    120.79x = 181.26 × 100.18
  4. Step 4: Simplify right side
    120.79x = 18,158.63
  5. Step 5: Solve for x
    x = 18,158.63/120.79
  6. Step 6: Final answer
    x = 150.33

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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.