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Finding the Fourth Proportional to 102.67, 141.78 and 82.09

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Solution

The fourth proportional to 102.67, 141.78 and 82.09 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 141.78 = 82.09 : x
  2. Step 2: Convert to fraction form
    102.67/141.78 = 82.09/x
  3. Step 3: Cross multiply
    102.67x = 141.78 × 82.09
  4. Step 4: Simplify right side
    102.67x = 11,638.72
  5. Step 5: Solve for x
    x = 11,638.72/102.67
  6. Step 6: Final answer
    x = 113.36

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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.