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Finding the Fourth Proportional to 13.82, 19.06 and 9.50

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Solution

The fourth proportional to 13.82, 19.06 and 9.50 is: 13.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 19.06 = 9.50 : x
  2. Step 2: Convert to fraction form
    13.82/19.06 = 9.50/x
  3. Step 3: Cross multiply
    13.82x = 19.06 × 9.50
  4. Step 4: Simplify right side
    13.82x = 181.07
  5. Step 5: Solve for x
    x = 181.07/13.82
  6. Step 6: Final answer
    x = 13.10

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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.