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Finding the Fourth Proportional to 51.88, 77.84 and 19.84

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Solution

The fourth proportional to 51.88, 77.84 and 19.84 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.88 : 77.84 = 19.84 : x
  2. Step 2: Convert to fraction form
    51.88/77.84 = 19.84/x
  3. Step 3: Cross multiply
    51.88x = 77.84 × 19.84
  4. Step 4: Simplify right side
    51.88x = 1,544.35
  5. Step 5: Solve for x
    x = 1,544.35/51.88
  6. Step 6: Final answer
    x = 29.77

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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.