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Finding the Fourth Proportional to 101.12, 150.96 and 82.88

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Solution

The fourth proportional to 101.12, 150.96 and 82.88 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.12 : 150.96 = 82.88 : x
  2. Step 2: Convert to fraction form
    101.12/150.96 = 82.88/x
  3. Step 3: Cross multiply
    101.12x = 150.96 × 82.88
  4. Step 4: Simplify right side
    101.12x = 12,511.56
  5. Step 5: Solve for x
    x = 12,511.56/101.12
  6. Step 6: Final answer
    x = 123.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.