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Finding the Fourth Proportional to 120.23, 180.77 and 110.63

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Solution

The fourth proportional to 120.23, 180.77 and 110.63 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 180.77 = 110.63 : x
  2. Step 2: Convert to fraction form
    120.23/180.77 = 110.63/x
  3. Step 3: Cross multiply
    120.23x = 180.77 × 110.63
  4. Step 4: Simplify right side
    120.23x = 19,998.48
  5. Step 5: Solve for x
    x = 19,998.48/120.23
  6. Step 6: Final answer
    x = 166.33

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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.