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Finding the Fourth Proportional to 21.04, 31.54 and 13.43

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Solution

The fourth proportional to 21.04, 31.54 and 13.43 is: 20.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.04 : 31.54 = 13.43 : x
  2. Step 2: Convert to fraction form
    21.04/31.54 = 13.43/x
  3. Step 3: Cross multiply
    21.04x = 31.54 × 13.43
  4. Step 4: Simplify right side
    21.04x = 423.58
  5. Step 5: Solve for x
    x = 423.58/21.04
  6. Step 6: Final answer
    x = 20.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.