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Finding the Fourth Proportional to 14.07, 19.47 and 13.22

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Solution

The fourth proportional to 14.07, 19.47 and 13.22 is: 18.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.07 : 19.47 = 13.22 : x
  2. Step 2: Convert to fraction form
    14.07/19.47 = 13.22/x
  3. Step 3: Cross multiply
    14.07x = 19.47 × 13.22
  4. Step 4: Simplify right side
    14.07x = 257.23
  5. Step 5: Solve for x
    x = 257.23/14.07
  6. Step 6: Final answer
    x = 18.29

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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.