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Finding the Fourth Proportional to 20.57, 30.78 and 19.46

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Solution

The fourth proportional to 20.57, 30.78 and 19.46 is: 29.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 30.78 = 19.46 : x
  2. Step 2: Convert to fraction form
    20.57/30.78 = 19.46/x
  3. Step 3: Cross multiply
    20.57x = 30.78 × 19.46
  4. Step 4: Simplify right side
    20.57x = 598.98
  5. Step 5: Solve for x
    x = 598.98/20.57
  6. Step 6: Final answer
    x = 29.12

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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.