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Finding the Fourth Proportional to 103.32, 142.26 and 82.31

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Solution

The fourth proportional to 103.32, 142.26 and 82.31 is: 113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 142.26 = 82.31 : x
  2. Step 2: Convert to fraction form
    103.32/142.26 = 82.31/x
  3. Step 3: Cross multiply
    103.32x = 142.26 × 82.31
  4. Step 4: Simplify right side
    103.32x = 11,709.78
  5. Step 5: Solve for x
    x = 11,709.78/103.32
  6. Step 6: Final answer
    x = 113.34

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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.