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Finding the Fourth Proportional to 23.36, 35.05 and 8.14

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Solution

The fourth proportional to 23.36, 35.05 and 8.14 is: 12.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.36 : 35.05 = 8.14 : x
  2. Step 2: Convert to fraction form
    23.36/35.05 = 8.14/x
  3. Step 3: Cross multiply
    23.36x = 35.05 × 8.14
  4. Step 4: Simplify right side
    23.36x = 285.31
  5. Step 5: Solve for x
    x = 285.31/23.36
  6. Step 6: Final answer
    x = 12.21

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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.