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Finding the Fourth Proportional to 143.44, 214.93 and 82.39

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Solution

The fourth proportional to 143.44, 214.93 and 82.39 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 214.93 = 82.39 : x
  2. Step 2: Convert to fraction form
    143.44/214.93 = 82.39/x
  3. Step 3: Cross multiply
    143.44x = 214.93 × 82.39
  4. Step 4: Simplify right side
    143.44x = 17,708.08
  5. Step 5: Solve for x
    x = 17,708.08/143.44
  6. Step 6: Final answer
    x = 123.45

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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.