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Finding the Fourth Proportional to 34.14, 47.06 and 31.82

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Solution

The fourth proportional to 34.14, 47.06 and 31.82 is: 43.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.14 : 47.06 = 31.82 : x
  2. Step 2: Convert to fraction form
    34.14/47.06 = 31.82/x
  3. Step 3: Cross multiply
    34.14x = 47.06 × 31.82
  4. Step 4: Simplify right side
    34.14x = 1,497.45
  5. Step 5: Solve for x
    x = 1,497.45/34.14
  6. Step 6: Final answer
    x = 43.86

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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.