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Finding the Fourth Proportional to 31.84, 47.76 and 13.78

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Solution

The fourth proportional to 31.84, 47.76 and 13.78 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 47.76 = 13.78 : x
  2. Step 2: Convert to fraction form
    31.84/47.76 = 13.78/x
  3. Step 3: Cross multiply
    31.84x = 47.76 × 13.78
  4. Step 4: Simplify right side
    31.84x = 658.06
  5. Step 5: Solve for x
    x = 658.06/31.84
  6. Step 6: Final answer
    x = 20.67

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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.