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Finding the Fourth Proportional to 21.28, 32.05 and 19.48

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Solution

The fourth proportional to 21.28, 32.05 and 19.48 is: 29.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.28 : 32.05 = 19.48 : x
  2. Step 2: Convert to fraction form
    21.28/32.05 = 19.48/x
  3. Step 3: Cross multiply
    21.28x = 32.05 × 19.48
  4. Step 4: Simplify right side
    21.28x = 624.33
  5. Step 5: Solve for x
    x = 624.33/21.28
  6. Step 6: Final answer
    x = 29.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.