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Finding the Fourth Proportional to 28.64, 43.08 and 22.64

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Solution

The fourth proportional to 28.64, 43.08 and 22.64 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.64 : 43.08 = 22.64 : x
  2. Step 2: Convert to fraction form
    28.64/43.08 = 22.64/x
  3. Step 3: Cross multiply
    28.64x = 43.08 × 22.64
  4. Step 4: Simplify right side
    28.64x = 975.33
  5. Step 5: Solve for x
    x = 975.33/28.64
  6. Step 6: Final answer
    x = 34.05

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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.