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Finding the Fourth Proportional to 20.08, 27.70 and 13.16

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Solution

The fourth proportional to 20.08, 27.70 and 13.16 is: 18.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 27.70 = 13.16 : x
  2. Step 2: Convert to fraction form
    20.08/27.70 = 13.16/x
  3. Step 3: Cross multiply
    20.08x = 27.70 × 13.16
  4. Step 4: Simplify right side
    20.08x = 364.57
  5. Step 5: Solve for x
    x = 364.57/20.08
  6. Step 6: Final answer
    x = 18.16

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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.