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Finding the Fourth Proportional to 103.06, 142.32 and 82.54

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Solution

The fourth proportional to 103.06, 142.32 and 82.54 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 142.32 = 82.54 : x
  2. Step 2: Convert to fraction form
    103.06/142.32 = 82.54/x
  3. Step 3: Cross multiply
    103.06x = 142.32 × 82.54
  4. Step 4: Simplify right side
    103.06x = 11,747.09
  5. Step 5: Solve for x
    x = 11,747.09/103.06
  6. Step 6: Final answer
    x = 113.98

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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.