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Finding the Fourth Proportional to 20.98, 31.43 and 14.13

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Solution

The fourth proportional to 20.98, 31.43 and 14.13 is: 21.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.98 : 31.43 = 14.13 : x
  2. Step 2: Convert to fraction form
    20.98/31.43 = 14.13/x
  3. Step 3: Cross multiply
    20.98x = 31.43 × 14.13
  4. Step 4: Simplify right side
    20.98x = 444.14
  5. Step 5: Solve for x
    x = 444.14/20.98
  6. Step 6: Final answer
    x = 21.17

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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.