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Finding the Fourth Proportional to 14.18, 19.52 and 13.23

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Solution

The fourth proportional to 14.18, 19.52 and 13.23 is: 18.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.18 : 19.52 = 13.23 : x
  2. Step 2: Convert to fraction form
    14.18/19.52 = 13.23/x
  3. Step 3: Cross multiply
    14.18x = 19.52 × 13.23
  4. Step 4: Simplify right side
    14.18x = 258.11
  5. Step 5: Solve for x
    x = 258.11/14.18
  6. Step 6: Final answer
    x = 18.21

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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.