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Finding the Fourth Proportional to 101.96, 140.23 and 82.06

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Solution

The fourth proportional to 101.96, 140.23 and 82.06 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 140.23 = 82.06 : x
  2. Step 2: Convert to fraction form
    101.96/140.23 = 82.06/x
  3. Step 3: Cross multiply
    101.96x = 140.23 × 82.06
  4. Step 4: Simplify right side
    101.96x = 11,507.81
  5. Step 5: Solve for x
    x = 11,507.81/101.96
  6. Step 6: Final answer
    x = 112.87

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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.