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Finding the Fourth Proportional to 23.16, 31.97 and 16.69

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Solution

The fourth proportional to 23.16, 31.97 and 16.69 is: 23.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.16 : 31.97 = 16.69 : x
  2. Step 2: Convert to fraction form
    23.16/31.97 = 16.69/x
  3. Step 3: Cross multiply
    23.16x = 31.97 × 16.69
  4. Step 4: Simplify right side
    23.16x = 533.42
  5. Step 5: Solve for x
    x = 533.42/23.16
  6. Step 6: Final answer
    x = 23.03

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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.