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Finding the Fourth Proportional to 51.90, 77.84 and 15.84

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Solution

The fourth proportional to 51.90, 77.84 and 15.84 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.84 = 15.84 : x
  2. Step 2: Convert to fraction form
    51.90/77.84 = 15.84/x
  3. Step 3: Cross multiply
    51.90x = 77.84 × 15.84
  4. Step 4: Simplify right side
    51.90x = 1,232.99
  5. Step 5: Solve for x
    x = 1,232.99/51.90
  6. Step 6: Final answer
    x = 23.76

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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.