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Finding the Fourth Proportional to 20.12, 30.42 and 20.00

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Solution

The fourth proportional to 20.12, 30.42 and 20.00 is: 30.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.12 : 30.42 = 20.00 : x
  2. Step 2: Convert to fraction form
    20.12/30.42 = 20.00/x
  3. Step 3: Cross multiply
    20.12x = 30.42 × 20.00
  4. Step 4: Simplify right side
    20.12x = 608.48
  5. Step 5: Solve for x
    x = 608.48/20.12
  6. Step 6: Final answer
    x = 30.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.