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Finding the Fourth Proportional to 20.84, 31.41 and 19.40

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Solution

The fourth proportional to 20.84, 31.41 and 19.40 is: 29.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 31.41 = 19.40 : x
  2. Step 2: Convert to fraction form
    20.84/31.41 = 19.40/x
  3. Step 3: Cross multiply
    20.84x = 31.41 × 19.40
  4. Step 4: Simplify right side
    20.84x = 609.35
  5. Step 5: Solve for x
    x = 609.35/20.84
  6. Step 6: Final answer
    x = 29.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.