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Finding the Fourth Proportional to 20.98, 31.46 and 13.01

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Solution

The fourth proportional to 20.98, 31.46 and 13.01 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.98 : 31.46 = 13.01 : x
  2. Step 2: Convert to fraction form
    20.98/31.46 = 13.01/x
  3. Step 3: Cross multiply
    20.98x = 31.46 × 13.01
  4. Step 4: Simplify right side
    20.98x = 409.23
  5. Step 5: Solve for x
    x = 409.23/20.98
  6. Step 6: Final answer
    x = 19.51

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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.