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Finding the Fourth Proportional to 20.42, 30.54 and 16.78

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Solution

The fourth proportional to 20.42, 30.54 and 16.78 is: 25.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.42 : 30.54 = 16.78 : x
  2. Step 2: Convert to fraction form
    20.42/30.54 = 16.78/x
  3. Step 3: Cross multiply
    20.42x = 30.54 × 16.78
  4. Step 4: Simplify right side
    20.42x = 512.46
  5. Step 5: Solve for x
    x = 512.46/20.42
  6. Step 6: Final answer
    x = 25.10

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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.