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Finding the Fourth Proportional to 51.63, 77.09 and 51.09

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Solution

The fourth proportional to 51.63, 77.09 and 51.09 is: 76.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 77.09 = 51.09 : x
  2. Step 2: Convert to fraction form
    51.63/77.09 = 51.09/x
  3. Step 3: Cross multiply
    51.63x = 77.09 × 51.09
  4. Step 4: Simplify right side
    51.63x = 3,938.53
  5. Step 5: Solve for x
    x = 3,938.53/51.63
  6. Step 6: Final answer
    x = 76.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.