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Finding the Fourth Proportional to 102.15, 140.90 and 80.37

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Solution

The fourth proportional to 102.15, 140.90 and 80.37 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.15 : 140.90 = 80.37 : x
  2. Step 2: Convert to fraction form
    102.15/140.90 = 80.37/x
  3. Step 3: Cross multiply
    102.15x = 140.90 × 80.37
  4. Step 4: Simplify right side
    102.15x = 11,323.73
  5. Step 5: Solve for x
    x = 11,323.73/102.15
  6. Step 6: Final answer
    x = 110.85

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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.