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Finding the Fourth Proportional to 23.67, 32.66 and 16.40

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Solution

The fourth proportional to 23.67, 32.66 and 16.40 is: 22.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.67 : 32.66 = 16.40 : x
  2. Step 2: Convert to fraction form
    23.67/32.66 = 16.40/x
  3. Step 3: Cross multiply
    23.67x = 32.66 × 16.40
  4. Step 4: Simplify right side
    23.67x = 535.62
  5. Step 5: Solve for x
    x = 535.62/23.67
  6. Step 6: Final answer
    x = 22.63

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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.