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Finding the Fourth Proportional to 23.72, 32.71 and 16.82

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Solution

The fourth proportional to 23.72, 32.71 and 16.82 is: 23.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 32.71 = 16.82 : x
  2. Step 2: Convert to fraction form
    23.72/32.71 = 16.82/x
  3. Step 3: Cross multiply
    23.72x = 32.71 × 16.82
  4. Step 4: Simplify right side
    23.72x = 550.18
  5. Step 5: Solve for x
    x = 550.18/23.72
  6. Step 6: Final answer
    x = 23.19

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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.