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Finding the Fourth Proportional to 51.81, 71.49 and 37.23

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Solution

The fourth proportional to 51.81, 71.49 and 37.23 is: 51.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 71.49 = 37.23 : x
  2. Step 2: Convert to fraction form
    51.81/71.49 = 37.23/x
  3. Step 3: Cross multiply
    51.81x = 71.49 × 37.23
  4. Step 4: Simplify right side
    51.81x = 2,661.57
  5. Step 5: Solve for x
    x = 2,661.57/51.81
  6. Step 6: Final answer
    x = 51.37

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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.