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Finding the Fourth Proportional to 21.34, 29.42 and 14.06

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Solution

The fourth proportional to 21.34, 29.42 and 14.06 is: 19.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.34 : 29.42 = 14.06 : x
  2. Step 2: Convert to fraction form
    21.34/29.42 = 14.06/x
  3. Step 3: Cross multiply
    21.34x = 29.42 × 14.06
  4. Step 4: Simplify right side
    21.34x = 413.65
  5. Step 5: Solve for x
    x = 413.65/21.34
  6. Step 6: Final answer
    x = 19.38

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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.