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Finding the Fourth Proportional to 21.04, 31.53 and 13.42

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Solution

The fourth proportional to 21.04, 31.53 and 13.42 is: 20.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.04 : 31.53 = 13.42 : x
  2. Step 2: Convert to fraction form
    21.04/31.53 = 13.42/x
  3. Step 3: Cross multiply
    21.04x = 31.53 × 13.42
  4. Step 4: Simplify right side
    21.04x = 422.97
  5. Step 5: Solve for x
    x = 422.97/21.04
  6. Step 6: Final answer
    x = 20.11

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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.