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Finding the Fourth Proportional to 20.55, 30.86 and 16.05

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Solution

The fourth proportional to 20.55, 30.86 and 16.05 is: 24.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.55 : 30.86 = 16.05 : x
  2. Step 2: Convert to fraction form
    20.55/30.86 = 16.05/x
  3. Step 3: Cross multiply
    20.55x = 30.86 × 16.05
  4. Step 4: Simplify right side
    20.55x = 495.22
  5. Step 5: Solve for x
    x = 495.22/20.55
  6. Step 6: Final answer
    x = 24.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.