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Finding the Fourth Proportional to 143.37, 214.85 and 82.37

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Solution

The fourth proportional to 143.37, 214.85 and 82.37 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.37 : 214.85 = 82.37 : x
  2. Step 2: Convert to fraction form
    143.37/214.85 = 82.37/x
  3. Step 3: Cross multiply
    143.37x = 214.85 × 82.37
  4. Step 4: Simplify right side
    143.37x = 17,695.71
  5. Step 5: Solve for x
    x = 17,695.71/143.37
  6. Step 6: Final answer
    x = 123.43

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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.