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Finding the Fourth Proportional to 51.74, 77.60 and 22.83

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Solution

The fourth proportional to 51.74, 77.60 and 22.83 is: 34.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 77.60 = 22.83 : x
  2. Step 2: Convert to fraction form
    51.74/77.60 = 22.83/x
  3. Step 3: Cross multiply
    51.74x = 77.60 × 22.83
  4. Step 4: Simplify right side
    51.74x = 1,771.67
  5. Step 5: Solve for x
    x = 1,771.67/51.74
  6. Step 6: Final answer
    x = 34.25

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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.