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Finding the Fourth Proportional to 102.26, 140.98 and 82.82

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Solution

The fourth proportional to 102.26, 140.98 and 82.82 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.26 : 140.98 = 82.82 : x
  2. Step 2: Convert to fraction form
    102.26/140.98 = 82.82/x
  3. Step 3: Cross multiply
    102.26x = 140.98 × 82.82
  4. Step 4: Simplify right side
    102.26x = 11,675.96
  5. Step 5: Solve for x
    x = 11,675.96/102.26
  6. Step 6: Final answer
    x = 114.18

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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.