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Finding the Fourth Proportional to 14.02, 19.34 and 8.19

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Solution

The fourth proportional to 14.02, 19.34 and 8.19 is: 11.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.02 : 19.34 = 8.19 : x
  2. Step 2: Convert to fraction form
    14.02/19.34 = 8.19/x
  3. Step 3: Cross multiply
    14.02x = 19.34 × 8.19
  4. Step 4: Simplify right side
    14.02x = 158.31
  5. Step 5: Solve for x
    x = 158.31/14.02
  6. Step 6: Final answer
    x = 11.30

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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.