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Finding the Fourth Proportional to 23.85, 35.80 and 16.22

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Solution

The fourth proportional to 23.85, 35.80 and 16.22 is: 24.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.85 : 35.80 = 16.22 : x
  2. Step 2: Convert to fraction form
    23.85/35.80 = 16.22/x
  3. Step 3: Cross multiply
    23.85x = 35.80 × 16.22
  4. Step 4: Simplify right side
    23.85x = 580.72
  5. Step 5: Solve for x
    x = 580.72/23.85
  6. Step 6: Final answer
    x = 24.35

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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.