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Finding the Fourth Proportional to 77.38, 116 and 46.96

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Solution

The fourth proportional to 77.38, 116 and 46.96 is: 70.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 116 = 46.96 : x
  2. Step 2: Convert to fraction form
    77.38/116 = 46.96/x
  3. Step 3: Cross multiply
    77.38x = 116 × 46.96
  4. Step 4: Simplify right side
    77.38x = 5,447.36
  5. Step 5: Solve for x
    x = 5,447.36/77.38
  6. Step 6: Final answer
    x = 70.40

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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.