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Finding the Fourth Proportional to 143.26, 214.64 and 110.82

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Solution

The fourth proportional to 143.26, 214.64 and 110.82 is: 166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.26 : 214.64 = 110.82 : x
  2. Step 2: Convert to fraction form
    143.26/214.64 = 110.82/x
  3. Step 3: Cross multiply
    143.26x = 214.64 × 110.82
  4. Step 4: Simplify right side
    143.26x = 23,786.40
  5. Step 5: Solve for x
    x = 23,786.40/143.26
  6. Step 6: Final answer
    x = 166.04

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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.