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Finding the Fourth Proportional to 28.05, 42 and 23.23

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Solution

The fourth proportional to 28.05, 42 and 23.23 is: 34.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.05 : 42 = 23.23 : x
  2. Step 2: Convert to fraction form
    28.05/42 = 23.23/x
  3. Step 3: Cross multiply
    28.05x = 42 × 23.23
  4. Step 4: Simplify right side
    28.05x = 975.66
  5. Step 5: Solve for x
    x = 975.66/28.05
  6. Step 6: Final answer
    x = 34.78

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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.