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Finding the Fourth Proportional to 31.34, 46.89 and 27.96

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Solution

The fourth proportional to 31.34, 46.89 and 27.96 is: 41.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.34 : 46.89 = 27.96 : x
  2. Step 2: Convert to fraction form
    31.34/46.89 = 27.96/x
  3. Step 3: Cross multiply
    31.34x = 46.89 × 27.96
  4. Step 4: Simplify right side
    31.34x = 1,311.04
  5. Step 5: Solve for x
    x = 1,311.04/31.34
  6. Step 6: Final answer
    x = 41.84

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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.