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Finding the Fourth Proportional to 77.73, 117.24 and 77.73

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Solution

The fourth proportional to 77.73, 117.24 and 77.73 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.73 : 117.24 = 77.73 : x
  2. Step 2: Convert to fraction form
    77.73/117.24 = 77.73/x
  3. Step 3: Cross multiply
    77.73x = 117.24 × 77.73
  4. Step 4: Simplify right side
    77.73x = 9,112.68
  5. Step 5: Solve for x
    x = 9,112.68/77.73
  6. Step 6: Final answer
    x = 117.24

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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.