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Finding the Fourth Proportional to 20.16, 30.22 and 14.45

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Solution

The fourth proportional to 20.16, 30.22 and 14.45 is: 21.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 30.22 = 14.45 : x
  2. Step 2: Convert to fraction form
    20.16/30.22 = 14.45/x
  3. Step 3: Cross multiply
    20.16x = 30.22 × 14.45
  4. Step 4: Simplify right side
    20.16x = 436.83
  5. Step 5: Solve for x
    x = 436.83/20.16
  6. Step 6: Final answer
    x = 21.67

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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.