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Finding the Fourth Proportional to 28.86, 43.20 and 22.80

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Solution

The fourth proportional to 28.86, 43.20 and 22.80 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.86 : 43.20 = 22.80 : x
  2. Step 2: Convert to fraction form
    28.86/43.20 = 22.80/x
  3. Step 3: Cross multiply
    28.86x = 43.20 × 22.80
  4. Step 4: Simplify right side
    28.86x = 984.96
  5. Step 5: Solve for x
    x = 984.96/28.86
  6. Step 6: Final answer
    x = 34.13

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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.