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Finding the Fourth Proportional to 51.85, 77.77 and 19.78

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Solution

The fourth proportional to 51.85, 77.77 and 19.78 is: 29.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.85 : 77.77 = 19.78 : x
  2. Step 2: Convert to fraction form
    51.85/77.77 = 19.78/x
  3. Step 3: Cross multiply
    51.85x = 77.77 × 19.78
  4. Step 4: Simplify right side
    51.85x = 1,538.34
  5. Step 5: Solve for x
    x = 1,538.34/51.85
  6. Step 6: Final answer
    x = 29.67

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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.