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Finding the Fourth Proportional to 120.13, 180.26 and 92.77

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Solution

The fourth proportional to 120.13, 180.26 and 92.77 is: 139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.13 : 180.26 = 92.77 : x
  2. Step 2: Convert to fraction form
    120.13/180.26 = 92.77/x
  3. Step 3: Cross multiply
    120.13x = 180.26 × 92.77
  4. Step 4: Simplify right side
    120.13x = 16,722.72
  5. Step 5: Solve for x
    x = 16,722.72/120.13
  6. Step 6: Final answer
    x = 139.21

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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.