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Finding the Fourth Proportional to 36.32, 50.14 and 23.22

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Solution

The fourth proportional to 36.32, 50.14 and 23.22 is: 32.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.32 : 50.14 = 23.22 : x
  2. Step 2: Convert to fraction form
    36.32/50.14 = 23.22/x
  3. Step 3: Cross multiply
    36.32x = 50.14 × 23.22
  4. Step 4: Simplify right side
    36.32x = 1,164.25
  5. Step 5: Solve for x
    x = 1,164.25/36.32
  6. Step 6: Final answer
    x = 32.06

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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.