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Finding the Fourth Proportional to 77.96, 107.60 and 45.23

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Solution

The fourth proportional to 77.96, 107.60 and 45.23 is: 62.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 107.60 = 45.23 : x
  2. Step 2: Convert to fraction form
    77.96/107.60 = 45.23/x
  3. Step 3: Cross multiply
    77.96x = 107.60 × 45.23
  4. Step 4: Simplify right side
    77.96x = 4,866.75
  5. Step 5: Solve for x
    x = 4,866.75/77.96
  6. Step 6: Final answer
    x = 62.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.