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Finding the Fourth Proportional to 143.28, 214.97 and 89.21

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Solution

The fourth proportional to 143.28, 214.97 and 89.21 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.28 : 214.97 = 89.21 : x
  2. Step 2: Convert to fraction form
    143.28/214.97 = 89.21/x
  3. Step 3: Cross multiply
    143.28x = 214.97 × 89.21
  4. Step 4: Simplify right side
    143.28x = 19,177.47
  5. Step 5: Solve for x
    x = 19,177.47/143.28
  6. Step 6: Final answer
    x = 133.85

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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.