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Finding the Fourth Proportional to 102.06, 140.75 and 82.38

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Solution

The fourth proportional to 102.06, 140.75 and 82.38 is: 113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.75 = 82.38 : x
  2. Step 2: Convert to fraction form
    102.06/140.75 = 82.38/x
  3. Step 3: Cross multiply
    102.06x = 140.75 × 82.38
  4. Step 4: Simplify right side
    102.06x = 11,594.99
  5. Step 5: Solve for x
    x = 11,594.99/102.06
  6. Step 6: Final answer
    x = 113.62

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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.