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Finding the Fourth Proportional to 14.09, 19.42 and 12.95

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Solution

The fourth proportional to 14.09, 19.42 and 12.95 is: 17.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.09 : 19.42 = 12.95 : x
  2. Step 2: Convert to fraction form
    14.09/19.42 = 12.95/x
  3. Step 3: Cross multiply
    14.09x = 19.42 × 12.95
  4. Step 4: Simplify right side
    14.09x = 251.36
  5. Step 5: Solve for x
    x = 251.36/14.09
  6. Step 6: Final answer
    x = 17.84

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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.