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Finding the Fourth Proportional to 120.11, 180.05 and 81.51

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Solution

The fourth proportional to 120.11, 180.05 and 81.51 is: 122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 180.05 = 81.51 : x
  2. Step 2: Convert to fraction form
    120.11/180.05 = 81.51/x
  3. Step 3: Cross multiply
    120.11x = 180.05 × 81.51
  4. Step 4: Simplify right side
    120.11x = 14,675.02
  5. Step 5: Solve for x
    x = 14,675.02/120.11
  6. Step 6: Final answer
    x = 122.18

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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.