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Finding the Fourth Proportional to 16.51, 22.78 and 11.90

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Solution

The fourth proportional to 16.51, 22.78 and 11.90 is: 16.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.51 : 22.78 = 11.90 : x
  2. Step 2: Convert to fraction form
    16.51/22.78 = 11.90/x
  3. Step 3: Cross multiply
    16.51x = 22.78 × 11.90
  4. Step 4: Simplify right side
    16.51x = 271.08
  5. Step 5: Solve for x
    x = 271.08/16.51
  6. Step 6: Final answer
    x = 16.42

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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.