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Finding the Fourth Proportional to 21.01, 31.46 and 14.23

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Solution

The fourth proportional to 21.01, 31.46 and 14.23 is: 21.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.01 : 31.46 = 14.23 : x
  2. Step 2: Convert to fraction form
    21.01/31.46 = 14.23/x
  3. Step 3: Cross multiply
    21.01x = 31.46 × 14.23
  4. Step 4: Simplify right side
    21.01x = 447.59
  5. Step 5: Solve for x
    x = 447.59/21.01
  6. Step 6: Final answer
    x = 21.30

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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.