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Finding the Fourth Proportional to 51.74, 78.16 and 51.22

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Solution

The fourth proportional to 51.74, 78.16 and 51.22 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 78.16 = 51.22 : x
  2. Step 2: Convert to fraction form
    51.74/78.16 = 51.22/x
  3. Step 3: Cross multiply
    51.74x = 78.16 × 51.22
  4. Step 4: Simplify right side
    51.74x = 4,003.36
  5. Step 5: Solve for x
    x = 4,003.36/51.74
  6. Step 6: Final answer
    x = 77.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.