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Finding the Fourth Proportional to 30.98, 46.40 and 20.84

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Solution

The fourth proportional to 30.98, 46.40 and 20.84 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.98 : 46.40 = 20.84 : x
  2. Step 2: Convert to fraction form
    30.98/46.40 = 20.84/x
  3. Step 3: Cross multiply
    30.98x = 46.40 × 20.84
  4. Step 4: Simplify right side
    30.98x = 966.64
  5. Step 5: Solve for x
    x = 966.64/30.98
  6. Step 6: Final answer
    x = 31.21

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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.