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Finding the Fourth Proportional to 20.55, 30.63 and 20.40

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Solution

The fourth proportional to 20.55, 30.63 and 20.40 is: 30.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.55 : 30.63 = 20.40 : x
  2. Step 2: Convert to fraction form
    20.55/30.63 = 20.40/x
  3. Step 3: Cross multiply
    20.55x = 30.63 × 20.40
  4. Step 4: Simplify right side
    20.55x = 624.85
  5. Step 5: Solve for x
    x = 624.85/20.55
  6. Step 6: Final answer
    x = 30.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.