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Finding the Fourth Proportional to 36.45, 50.17 and 25.52

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Solution

The fourth proportional to 36.45, 50.17 and 25.52 is: 35.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.45 : 50.17 = 25.52 : x
  2. Step 2: Convert to fraction form
    36.45/50.17 = 25.52/x
  3. Step 3: Cross multiply
    36.45x = 50.17 × 25.52
  4. Step 4: Simplify right side
    36.45x = 1,280.07
  5. Step 5: Solve for x
    x = 1,280.07/36.45
  6. Step 6: Final answer
    x = 35.12

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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.