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Finding the Fourth Proportional to 101.96, 152.84 and 44.21

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Solution

The fourth proportional to 101.96, 152.84 and 44.21 is: 66.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 152.84 = 44.21 : x
  2. Step 2: Convert to fraction form
    101.96/152.84 = 44.21/x
  3. Step 3: Cross multiply
    101.96x = 152.84 × 44.21
  4. Step 4: Simplify right side
    101.96x = 6,757.22
  5. Step 5: Solve for x
    x = 6,757.22/101.96
  6. Step 6: Final answer
    x = 66.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.