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Finding the Fourth Proportional to 20.46, 30.51 and 19.40

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Solution

The fourth proportional to 20.46, 30.51 and 19.40 is: 28.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 30.51 = 19.40 : x
  2. Step 2: Convert to fraction form
    20.46/30.51 = 19.40/x
  3. Step 3: Cross multiply
    20.46x = 30.51 × 19.40
  4. Step 4: Simplify right side
    20.46x = 591.74
  5. Step 5: Solve for x
    x = 591.74/20.46
  6. Step 6: Final answer
    x = 28.92

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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.