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Finding the Fourth Proportional to 36.55, 50.45 and 25.64

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Solution

The fourth proportional to 36.55, 50.45 and 25.64 is: 35.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.55 : 50.45 = 25.64 : x
  2. Step 2: Convert to fraction form
    36.55/50.45 = 25.64/x
  3. Step 3: Cross multiply
    36.55x = 50.45 × 25.64
  4. Step 4: Simplify right side
    36.55x = 1,293.54
  5. Step 5: Solve for x
    x = 1,293.54/36.55
  6. Step 6: Final answer
    x = 35.39

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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.