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Finding the Fourth Proportional to 36.57, 50.53 and 30.74

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Solution

The fourth proportional to 36.57, 50.53 and 30.74 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.57 : 50.53 = 30.74 : x
  2. Step 2: Convert to fraction form
    36.57/50.53 = 30.74/x
  3. Step 3: Cross multiply
    36.57x = 50.53 × 30.74
  4. Step 4: Simplify right side
    36.57x = 1,553.26
  5. Step 5: Solve for x
    x = 1,553.26/36.57
  6. Step 6: Final answer
    x = 42.47

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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.