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Finding the Fourth Proportional to 21.75, 30.02 and 12.54

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Solution

The fourth proportional to 21.75, 30.02 and 12.54 is: 17.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.75 : 30.02 = 12.54 : x
  2. Step 2: Convert to fraction form
    21.75/30.02 = 12.54/x
  3. Step 3: Cross multiply
    21.75x = 30.02 × 12.54
  4. Step 4: Simplify right side
    21.75x = 376.42
  5. Step 5: Solve for x
    x = 376.42/21.75
  6. Step 6: Final answer
    x = 17.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.