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Finding the Fourth Proportional to 100.20, 138.48 and 82.68

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Solution

The fourth proportional to 100.20, 138.48 and 82.68 is: 114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 138.48 = 82.68 : x
  2. Step 2: Convert to fraction form
    100.20/138.48 = 82.68/x
  3. Step 3: Cross multiply
    100.20x = 138.48 × 82.68
  4. Step 4: Simplify right side
    100.20x = 11,449.53
  5. Step 5: Solve for x
    x = 11,449.53/100.20
  6. Step 6: Final answer
    x = 114.27

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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.