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Finding the Fourth Proportional to 103.39, 142.52 and 82.64

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Solution

The fourth proportional to 103.39, 142.52 and 82.64 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.39 : 142.52 = 82.64 : x
  2. Step 2: Convert to fraction form
    103.39/142.52 = 82.64/x
  3. Step 3: Cross multiply
    103.39x = 142.52 × 82.64
  4. Step 4: Simplify right side
    103.39x = 11,776.73
  5. Step 5: Solve for x
    x = 11,776.73/103.39
  6. Step 6: Final answer
    x = 113.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.