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Finding the Fourth Proportional to 21.47, 32.06 and 19.26

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Solution

The fourth proportional to 21.47, 32.06 and 19.26 is: 28.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.47 : 32.06 = 19.26 : x
  2. Step 2: Convert to fraction form
    21.47/32.06 = 19.26/x
  3. Step 3: Cross multiply
    21.47x = 32.06 × 19.26
  4. Step 4: Simplify right side
    21.47x = 617.38
  5. Step 5: Solve for x
    x = 617.38/21.47
  6. Step 6: Final answer
    x = 28.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.