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Finding the Fourth Proportional to 20.93, 31.46 and 20.05

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Solution

The fourth proportional to 20.93, 31.46 and 20.05 is: 30.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.93 : 31.46 = 20.05 : x
  2. Step 2: Convert to fraction form
    20.93/31.46 = 20.05/x
  3. Step 3: Cross multiply
    20.93x = 31.46 × 20.05
  4. Step 4: Simplify right side
    20.93x = 630.59
  5. Step 5: Solve for x
    x = 630.59/20.93
  6. Step 6: Final answer
    x = 30.14

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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.