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Finding the Fourth Proportional to 16.54, 22.84 and 13.64

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Solution

The fourth proportional to 16.54, 22.84 and 13.64 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 22.84 = 13.64 : x
  2. Step 2: Convert to fraction form
    16.54/22.84 = 13.64/x
  3. Step 3: Cross multiply
    16.54x = 22.84 × 13.64
  4. Step 4: Simplify right side
    16.54x = 311.37
  5. Step 5: Solve for x
    x = 311.37/16.54
  6. Step 6: Final answer
    x = 18.82

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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.