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Finding the Fourth Proportional to 34, 46.96 and 31.72

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Solution

The fourth proportional to 34, 46.96 and 31.72 is: 43.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 46.96 = 31.72 : x
  2. Step 2: Convert to fraction form
    34/46.96 = 31.72/x
  3. Step 3: Cross multiply
    34x = 46.96 × 31.72
  4. Step 4: Simplify right side
    34x = 1,489.57
  5. Step 5: Solve for x
    x = 1,489.57/34
  6. Step 6: Final answer
    x = 43.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.