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Finding the Fourth Proportional to 20.14, 27.75 and 16.06

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Solution

The fourth proportional to 20.14, 27.75 and 16.06 is: 22.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.14 : 27.75 = 16.06 : x
  2. Step 2: Convert to fraction form
    20.14/27.75 = 16.06/x
  3. Step 3: Cross multiply
    20.14x = 27.75 × 16.06
  4. Step 4: Simplify right side
    20.14x = 445.67
  5. Step 5: Solve for x
    x = 445.67/20.14
  6. Step 6: Final answer
    x = 22.13

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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.