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Finding the Fourth Proportional to 14.09, 19.47 and 11.70

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Solution

The fourth proportional to 14.09, 19.47 and 11.70 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.09 : 19.47 = 11.70 : x
  2. Step 2: Convert to fraction form
    14.09/19.47 = 11.70/x
  3. Step 3: Cross multiply
    14.09x = 19.47 × 11.70
  4. Step 4: Simplify right side
    14.09x = 227.80
  5. Step 5: Solve for x
    x = 227.80/14.09
  6. Step 6: Final answer
    x = 16.17

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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.