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Finding the Fourth Proportional to 30.98, 46.35 and 27.12

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Solution

The fourth proportional to 30.98, 46.35 and 27.12 is: 40.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.98 : 46.35 = 27.12 : x
  2. Step 2: Convert to fraction form
    30.98/46.35 = 27.12/x
  3. Step 3: Cross multiply
    30.98x = 46.35 × 27.12
  4. Step 4: Simplify right side
    30.98x = 1,257.01
  5. Step 5: Solve for x
    x = 1,257.01/30.98
  6. Step 6: Final answer
    x = 40.58

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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.