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Finding the Fourth Proportional to 51.84, 77.78 and 19.78

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Solution

The fourth proportional to 51.84, 77.78 and 19.78 is: 29.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 77.78 = 19.78 : x
  2. Step 2: Convert to fraction form
    51.84/77.78 = 19.78/x
  3. Step 3: Cross multiply
    51.84x = 77.78 × 19.78
  4. Step 4: Simplify right side
    51.84x = 1,538.56
  5. Step 5: Solve for x
    x = 1,538.56/51.84
  6. Step 6: Final answer
    x = 29.68

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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.