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Finding the Fourth Proportional to 47.69, 65.78 and 30.21

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Solution

The fourth proportional to 47.69, 65.78 and 30.21 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.69 : 65.78 = 30.21 : x
  2. Step 2: Convert to fraction form
    47.69/65.78 = 30.21/x
  3. Step 3: Cross multiply
    47.69x = 65.78 × 30.21
  4. Step 4: Simplify right side
    47.69x = 1,987.21
  5. Step 5: Solve for x
    x = 1,987.21/47.69
  6. Step 6: Final answer
    x = 41.67

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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.