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Finding the Fourth Proportional to 51.70, 77.51 and 19.66

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Solution

The fourth proportional to 51.70, 77.51 and 19.66 is: 29.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.70 : 77.51 = 19.66 : x
  2. Step 2: Convert to fraction form
    51.70/77.51 = 19.66/x
  3. Step 3: Cross multiply
    51.70x = 77.51 × 19.66
  4. Step 4: Simplify right side
    51.70x = 1,523.85
  5. Step 5: Solve for x
    x = 1,523.85/51.70
  6. Step 6: Final answer
    x = 29.47

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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.