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Finding the Fourth Proportional to 21.74, 30.01 and 12.54

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Solution

The fourth proportional to 21.74, 30.01 and 12.54 is: 17.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.74 : 30.01 = 12.54 : x
  2. Step 2: Convert to fraction form
    21.74/30.01 = 12.54/x
  3. Step 3: Cross multiply
    21.74x = 30.01 × 12.54
  4. Step 4: Simplify right side
    21.74x = 376.14
  5. Step 5: Solve for x
    x = 376.14/21.74
  6. Step 6: Final answer
    x = 17.30

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Why These Related Problems?

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