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Finding the Fourth Proportional to 51.82, 77.74 and 19.76

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Solution

The fourth proportional to 51.82, 77.74 and 19.76 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.82 : 77.74 = 19.76 : x
  2. Step 2: Convert to fraction form
    51.82/77.74 = 19.76/x
  3. Step 3: Cross multiply
    51.82x = 77.74 × 19.76
  4. Step 4: Simplify right side
    51.82x = 1,536.14
  5. Step 5: Solve for x
    x = 1,536.14/51.82
  6. Step 6: Final answer
    x = 29.64

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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.