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Finding the Fourth Proportional to 51.70, 71.22 and 38.74

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Solution

The fourth proportional to 51.70, 71.22 and 38.74 is: 53.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.70 : 71.22 = 38.74 : x
  2. Step 2: Convert to fraction form
    51.70/71.22 = 38.74/x
  3. Step 3: Cross multiply
    51.70x = 71.22 × 38.74
  4. Step 4: Simplify right side
    51.70x = 2,759.06
  5. Step 5: Solve for x
    x = 2,759.06/51.70
  6. Step 6: Final answer
    x = 53.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.