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Finding the Fourth Proportional to 20.23, 27.86 and 20.16

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Solution

The fourth proportional to 20.23, 27.86 and 20.16 is: 27.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.23 : 27.86 = 20.16 : x
  2. Step 2: Convert to fraction form
    20.23/27.86 = 20.16/x
  3. Step 3: Cross multiply
    20.23x = 27.86 × 20.16
  4. Step 4: Simplify right side
    20.23x = 561.56
  5. Step 5: Solve for x
    x = 561.56/20.23
  6. Step 6: Final answer
    x = 27.76

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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.