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Finding the Fourth Proportional to 19.93, 29.86 and 15.44

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Solution

The fourth proportional to 19.93, 29.86 and 15.44 is: 23.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 29.86 = 15.44 : x
  2. Step 2: Convert to fraction form
    19.93/29.86 = 15.44/x
  3. Step 3: Cross multiply
    19.93x = 29.86 × 15.44
  4. Step 4: Simplify right side
    19.93x = 461.04
  5. Step 5: Solve for x
    x = 461.04/19.93
  6. Step 6: Final answer
    x = 23.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.