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Finding the Fourth Proportional to 21.78, 30.06 and 13.58

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Solution

The fourth proportional to 21.78, 30.06 and 13.58 is: 18.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 30.06 = 13.58 : x
  2. Step 2: Convert to fraction form
    21.78/30.06 = 13.58/x
  3. Step 3: Cross multiply
    21.78x = 30.06 × 13.58
  4. Step 4: Simplify right side
    21.78x = 408.21
  5. Step 5: Solve for x
    x = 408.21/21.78
  6. Step 6: Final answer
    x = 18.74

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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.