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Finding the Fourth Proportional to 51.50, 77.25 and 21.09

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Solution

The fourth proportional to 51.50, 77.25 and 21.09 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.50 : 77.25 = 21.09 : x
  2. Step 2: Convert to fraction form
    51.50/77.25 = 21.09/x
  3. Step 3: Cross multiply
    51.50x = 77.25 × 21.09
  4. Step 4: Simplify right side
    51.50x = 1,629.20
  5. Step 5: Solve for x
    x = 1,629.20/51.50
  6. Step 6: Final answer
    x = 31.64

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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.