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Finding the Fourth Proportional to 39.14, 53.82 and 31.67

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Solution

The fourth proportional to 39.14, 53.82 and 31.67 is: 43.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.14 : 53.82 = 31.67 : x
  2. Step 2: Convert to fraction form
    39.14/53.82 = 31.67/x
  3. Step 3: Cross multiply
    39.14x = 53.82 × 31.67
  4. Step 4: Simplify right side
    39.14x = 1,704.48
  5. Step 5: Solve for x
    x = 1,704.48/39.14
  6. Step 6: Final answer
    x = 43.55

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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.