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Finding the Fourth Proportional to 20.53, 30.65 and 19.36

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Solution

The fourth proportional to 20.53, 30.65 and 19.36 is: 28.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.53 : 30.65 = 19.36 : x
  2. Step 2: Convert to fraction form
    20.53/30.65 = 19.36/x
  3. Step 3: Cross multiply
    20.53x = 30.65 × 19.36
  4. Step 4: Simplify right side
    20.53x = 593.38
  5. Step 5: Solve for x
    x = 593.38/20.53
  6. Step 6: Final answer
    x = 28.90

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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.