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Finding the Fourth Proportional to 28.17, 42.30 and 22.80

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Solution

The fourth proportional to 28.17, 42.30 and 22.80 is: 34.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.17 : 42.30 = 22.80 : x
  2. Step 2: Convert to fraction form
    28.17/42.30 = 22.80/x
  3. Step 3: Cross multiply
    28.17x = 42.30 × 22.80
  4. Step 4: Simplify right side
    28.17x = 964.44
  5. Step 5: Solve for x
    x = 964.44/28.17
  6. Step 6: Final answer
    x = 34.24

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