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Finding the Fourth Proportional to 23.39, 35.09 and 19.42

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Solution

The fourth proportional to 23.39, 35.09 and 19.42 is: 29.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.39 : 35.09 = 19.42 : x
  2. Step 2: Convert to fraction form
    23.39/35.09 = 19.42/x
  3. Step 3: Cross multiply
    23.39x = 35.09 × 19.42
  4. Step 4: Simplify right side
    23.39x = 681.45
  5. Step 5: Solve for x
    x = 681.45/23.39
  6. Step 6: Final answer
    x = 29.13

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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.