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Finding the Fourth Proportional to 13.84, 19.10 and 10.19

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Solution

The fourth proportional to 13.84, 19.10 and 10.19 is: 14.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 19.10 = 10.19 : x
  2. Step 2: Convert to fraction form
    13.84/19.10 = 10.19/x
  3. Step 3: Cross multiply
    13.84x = 19.10 × 10.19
  4. Step 4: Simplify right side
    13.84x = 194.70
  5. Step 5: Solve for x
    x = 194.70/13.84
  6. Step 6: Final answer
    x = 14.07

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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.