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Finding the Fourth Proportional to 23.82, 35.75 and 14.21

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Solution

The fourth proportional to 23.82, 35.75 and 14.21 is: 21.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 35.75 = 14.21 : x
  2. Step 2: Convert to fraction form
    23.82/35.75 = 14.21/x
  3. Step 3: Cross multiply
    23.82x = 35.75 × 14.21
  4. Step 4: Simplify right side
    23.82x = 507.76
  5. Step 5: Solve for x
    x = 507.76/23.82
  6. Step 6: Final answer
    x = 21.32

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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.