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Finding the Fourth Proportional to 20.07, 30.12 and 9.23

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Solution

The fourth proportional to 20.07, 30.12 and 9.23 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.07 : 30.12 = 9.23 : x
  2. Step 2: Convert to fraction form
    20.07/30.12 = 9.23/x
  3. Step 3: Cross multiply
    20.07x = 30.12 × 9.23
  4. Step 4: Simplify right side
    20.07x = 277.82
  5. Step 5: Solve for x
    x = 277.82/20.07
  6. Step 6: Final answer
    x = 13.84

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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.