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Finding the Fourth Proportional to 13.84, 20.74 and 7.07

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Solution

The fourth proportional to 13.84, 20.74 and 7.07 is: 10.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 20.74 = 7.07 : x
  2. Step 2: Convert to fraction form
    13.84/20.74 = 7.07/x
  3. Step 3: Cross multiply
    13.84x = 20.74 × 7.07
  4. Step 4: Simplify right side
    13.84x = 146.64
  5. Step 5: Solve for x
    x = 146.64/13.84
  6. Step 6: Final answer
    x = 10.60

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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.