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Finding the Fourth Proportional to 19.56, 27.02 and 16.82

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Solution

The fourth proportional to 19.56, 27.02 and 16.82 is: 23.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.56 : 27.02 = 16.82 : x
  2. Step 2: Convert to fraction form
    19.56/27.02 = 16.82/x
  3. Step 3: Cross multiply
    19.56x = 27.02 × 16.82
  4. Step 4: Simplify right side
    19.56x = 454.26
  5. Step 5: Solve for x
    x = 454.26/19.56
  6. Step 6: Final answer
    x = 23.22

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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.