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Finding the Fourth Proportional to 77.83, 116.29 and 75.14

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Solution

The fourth proportional to 77.83, 116.29 and 75.14 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 116.29 = 75.14 : x
  2. Step 2: Convert to fraction form
    77.83/116.29 = 75.14/x
  3. Step 3: Cross multiply
    77.83x = 116.29 × 75.14
  4. Step 4: Simplify right side
    77.83x = 8,738.03
  5. Step 5: Solve for x
    x = 8,738.03/77.83
  6. Step 6: Final answer
    x = 112.27

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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.