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Finding the Fourth Proportional to 77.83, 116.74 and 34.51

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Solution

The fourth proportional to 77.83, 116.74 and 34.51 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 116.74 = 34.51 : x
  2. Step 2: Convert to fraction form
    77.83/116.74 = 34.51/x
  3. Step 3: Cross multiply
    77.83x = 116.74 × 34.51
  4. Step 4: Simplify right side
    77.83x = 4,028.67
  5. Step 5: Solve for x
    x = 4,028.67/77.83
  6. Step 6: Final answer
    x = 51.76

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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.