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Finding the Fourth Proportional to 36.06, 53.96 and 23.23

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Solution

The fourth proportional to 36.06, 53.96 and 23.23 is: 34.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.06 : 53.96 = 23.23 : x
  2. Step 2: Convert to fraction form
    36.06/53.96 = 23.23/x
  3. Step 3: Cross multiply
    36.06x = 53.96 × 23.23
  4. Step 4: Simplify right side
    36.06x = 1,253.22
  5. Step 5: Solve for x
    x = 1,253.22/36.06
  6. Step 6: Final answer
    x = 34.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.