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Finding the Fourth Proportional to 38.96, 53.07 and 38.22

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Solution

The fourth proportional to 38.96, 53.07 and 38.22 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.96 : 53.07 = 38.22 : x
  2. Step 2: Convert to fraction form
    38.96/53.07 = 38.22/x
  3. Step 3: Cross multiply
    38.96x = 53.07 × 38.22
  4. Step 4: Simplify right side
    38.96x = 2,027.88
  5. Step 5: Solve for x
    x = 2,027.88/38.96
  6. Step 6: Final answer
    x = 52.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.