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Finding the Fourth Proportional to 20.69, 31.07 and 13.46

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Solution

The fourth proportional to 20.69, 31.07 and 13.46 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.69 : 31.07 = 13.46 : x
  2. Step 2: Convert to fraction form
    20.69/31.07 = 13.46/x
  3. Step 3: Cross multiply
    20.69x = 31.07 × 13.46
  4. Step 4: Simplify right side
    20.69x = 417.98
  5. Step 5: Solve for x
    x = 417.98/20.69
  6. Step 6: Final answer
    x = 20.21

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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.