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Finding the Fourth Proportional to 143.26, 214.55 and 82.21

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Solution

The fourth proportional to 143.26, 214.55 and 82.21 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.26 : 214.55 = 82.21 : x
  2. Step 2: Convert to fraction form
    143.26/214.55 = 82.21/x
  3. Step 3: Cross multiply
    143.26x = 214.55 × 82.21
  4. Step 4: Simplify right side
    143.26x = 17,638.16
  5. Step 5: Solve for x
    x = 17,638.16/143.26
  6. Step 6: Final answer
    x = 123.12

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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.