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Finding the Fourth Proportional to 20.57, 30.64 and 19.60

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Solution

The fourth proportional to 20.57, 30.64 and 19.60 is: 29.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 30.64 = 19.60 : x
  2. Step 2: Convert to fraction form
    20.57/30.64 = 19.60/x
  3. Step 3: Cross multiply
    20.57x = 30.64 × 19.60
  4. Step 4: Simplify right side
    20.57x = 600.49
  5. Step 5: Solve for x
    x = 600.49/20.57
  6. Step 6: Final answer
    x = 29.20

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Why These Related Problems?

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