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Finding the Fourth Proportional to 143.02, 214.27 and 82.02

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Solution

The fourth proportional to 143.02, 214.27 and 82.02 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 214.27 = 82.02 : x
  2. Step 2: Convert to fraction form
    143.02/214.27 = 82.02/x
  3. Step 3: Cross multiply
    143.02x = 214.27 × 82.02
  4. Step 4: Simplify right side
    143.02x = 17,574.43
  5. Step 5: Solve for x
    x = 17,574.43/143.02
  6. Step 6: Final answer
    x = 122.88

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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.