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Finding the Fourth Proportional to 23.69, 32.70 and 16.43

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Solution

The fourth proportional to 23.69, 32.70 and 16.43 is: 22.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.69 : 32.70 = 16.43 : x
  2. Step 2: Convert to fraction form
    23.69/32.70 = 16.43/x
  3. Step 3: Cross multiply
    23.69x = 32.70 × 16.43
  4. Step 4: Simplify right side
    23.69x = 537.10
  5. Step 5: Solve for x
    x = 537.10/23.69
  6. Step 6: Final answer
    x = 22.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.