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Finding the Fourth Proportional to 30.98, 46.19 and 29.84

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Solution

The fourth proportional to 30.98, 46.19 and 29.84 is: 44.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.98 : 46.19 = 29.84 : x
  2. Step 2: Convert to fraction form
    30.98/46.19 = 29.84/x
  3. Step 3: Cross multiply
    30.98x = 46.19 × 29.84
  4. Step 4: Simplify right side
    30.98x = 1,378.31
  5. Step 5: Solve for x
    x = 1,378.31/30.98
  6. Step 6: Final answer
    x = 44.49

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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.