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Finding the Fourth Proportional to 36.96, 50.90 and 30.02

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Solution

The fourth proportional to 36.96, 50.90 and 30.02 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.96 : 50.90 = 30.02 : x
  2. Step 2: Convert to fraction form
    36.96/50.90 = 30.02/x
  3. Step 3: Cross multiply
    36.96x = 50.90 × 30.02
  4. Step 4: Simplify right side
    36.96x = 1,528.02
  5. Step 5: Solve for x
    x = 1,528.02/36.96
  6. Step 6: Final answer
    x = 41.34

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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.