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Finding the Fourth Proportional to 110.80, 166.33 and 110.31

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Solution

The fourth proportional to 110.80, 166.33 and 110.31 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 166.33 = 110.31 : x
  2. Step 2: Convert to fraction form
    110.80/166.33 = 110.31/x
  3. Step 3: Cross multiply
    110.80x = 166.33 × 110.31
  4. Step 4: Simplify right side
    110.80x = 18,347.86
  5. Step 5: Solve for x
    x = 18,347.86/110.80
  6. Step 6: Final answer
    x = 165.59

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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.