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Finding the Fourth Proportional to 28.36, 42.54 and 23.84

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Solution

The fourth proportional to 28.36, 42.54 and 23.84 is: 35.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.36 : 42.54 = 23.84 : x
  2. Step 2: Convert to fraction form
    28.36/42.54 = 23.84/x
  3. Step 3: Cross multiply
    28.36x = 42.54 × 23.84
  4. Step 4: Simplify right side
    28.36x = 1,014.15
  5. Step 5: Solve for x
    x = 1,014.15/28.36
  6. Step 6: Final answer
    x = 35.76

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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.