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Finding the Fourth Proportional to 36.50, 50.65 and 36.22

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Solution

The fourth proportional to 36.50, 50.65 and 36.22 is: 50.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 50.65 = 36.22 : x
  2. Step 2: Convert to fraction form
    36.50/50.65 = 36.22/x
  3. Step 3: Cross multiply
    36.50x = 50.65 × 36.22
  4. Step 4: Simplify right side
    36.50x = 1,834.36
  5. Step 5: Solve for x
    x = 1,834.36/36.50
  6. Step 6: Final answer
    x = 50.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.