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Finding the Fourth Proportional to 16.57, 22.91 and 16.42

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Solution

The fourth proportional to 16.57, 22.91 and 16.42 is: 22.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.57 : 22.91 = 16.42 : x
  2. Step 2: Convert to fraction form
    16.57/22.91 = 16.42/x
  3. Step 3: Cross multiply
    16.57x = 22.91 × 16.42
  4. Step 4: Simplify right side
    16.57x = 375.99
  5. Step 5: Solve for x
    x = 375.99/16.57
  6. Step 6: Final answer
    x = 22.69

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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.