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Finding the Fourth Proportional to 19.09, 26.34 and 10.34

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Solution

The fourth proportional to 19.09, 26.34 and 10.34 is: 14.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.09 : 26.34 = 10.34 : x
  2. Step 2: Convert to fraction form
    19.09/26.34 = 10.34/x
  3. Step 3: Cross multiply
    19.09x = 26.34 × 10.34
  4. Step 4: Simplify right side
    19.09x = 272.43
  5. Step 5: Solve for x
    x = 272.43/19.09
  6. Step 6: Final answer
    x = 14.27

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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.