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Finding the Fourth Proportional to 20.84, 28.74 and 13.46

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Solution

The fourth proportional to 20.84, 28.74 and 13.46 is: 18.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 28.74 = 13.46 : x
  2. Step 2: Convert to fraction form
    20.84/28.74 = 13.46/x
  3. Step 3: Cross multiply
    20.84x = 28.74 × 13.46
  4. Step 4: Simplify right side
    20.84x = 386.75
  5. Step 5: Solve for x
    x = 386.75/20.84
  6. Step 6: Final answer
    x = 18.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.