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Finding the Fourth Proportional to 36.16, 54.34 and 22.64

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Solution

The fourth proportional to 36.16, 54.34 and 22.64 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.16 : 54.34 = 22.64 : x
  2. Step 2: Convert to fraction form
    36.16/54.34 = 22.64/x
  3. Step 3: Cross multiply
    36.16x = 54.34 × 22.64
  4. Step 4: Simplify right side
    36.16x = 1,230.26
  5. Step 5: Solve for x
    x = 1,230.26/36.16
  6. Step 6: Final answer
    x = 34.02

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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.