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Finding the Fourth Proportional to 51.79, 77.70 and 19.31

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Solution

The fourth proportional to 51.79, 77.70 and 19.31 is: 28.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.79 : 77.70 = 19.31 : x
  2. Step 2: Convert to fraction form
    51.79/77.70 = 19.31/x
  3. Step 3: Cross multiply
    51.79x = 77.70 × 19.31
  4. Step 4: Simplify right side
    51.79x = 1,500.02
  5. Step 5: Solve for x
    x = 1,500.02/51.79
  6. Step 6: Final answer
    x = 28.96

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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.