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Finding the Fourth Proportional to 23.62, 35.38 and 12.91

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Solution

The fourth proportional to 23.62, 35.38 and 12.91 is: 19.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.62 : 35.38 = 12.91 : x
  2. Step 2: Convert to fraction form
    23.62/35.38 = 12.91/x
  3. Step 3: Cross multiply
    23.62x = 35.38 × 12.91
  4. Step 4: Simplify right side
    23.62x = 456.51
  5. Step 5: Solve for x
    x = 456.51/23.62
  6. Step 6: Final answer
    x = 19.33

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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.