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Finding the Fourth Proportional to 20.53, 30.84 and 20.40

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Solution

The fourth proportional to 20.53, 30.84 and 20.40 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 30.84 = 20.40 : x
  2. Step 2: Convert to fraction form
    20.53/30.84 = 20.40/x
  3. Step 3: Cross multiply
    20.53x = 30.84 × 20.40
  4. Step 4: Simplify right side
    20.53x = 629.14
  5. Step 5: Solve for x
    x = 629.14/20.53
  6. Step 6: Final answer
    x = 30.64

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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.