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Finding the Fourth Proportional to 102.06, 140.94 and 80.28

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Solution

The fourth proportional to 102.06, 140.94 and 80.28 is: 110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.94 = 80.28 : x
  2. Step 2: Convert to fraction form
    102.06/140.94 = 80.28/x
  3. Step 3: Cross multiply
    102.06x = 140.94 × 80.28
  4. Step 4: Simplify right side
    102.06x = 11,314.66
  5. Step 5: Solve for x
    x = 11,314.66/102.06
  6. Step 6: Final answer
    x = 110.86

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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.