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Finding the Fourth Proportional to 77.92, 116.16 and 74.54

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Solution

The fourth proportional to 77.92, 116.16 and 74.54 is: 111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 116.16 = 74.54 : x
  2. Step 2: Convert to fraction form
    77.92/116.16 = 74.54/x
  3. Step 3: Cross multiply
    77.92x = 116.16 × 74.54
  4. Step 4: Simplify right side
    77.92x = 8,658.57
  5. Step 5: Solve for x
    x = 8,658.57/77.92
  6. Step 6: Final answer
    x = 111.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.