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Finding the Fourth Proportional to 77.92, 116.14 and 75.24

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Solution

The fourth proportional to 77.92, 116.14 and 75.24 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 116.14 = 75.24 : x
  2. Step 2: Convert to fraction form
    77.92/116.14 = 75.24/x
  3. Step 3: Cross multiply
    77.92x = 116.14 × 75.24
  4. Step 4: Simplify right side
    77.92x = 8,738.37
  5. Step 5: Solve for x
    x = 8,738.37/77.92
  6. Step 6: Final answer
    x = 112.15

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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.