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Finding the Fourth Proportional to 105.14, 157.06 and 80.84

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Solution

The fourth proportional to 105.14, 157.06 and 80.84 is: 120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 157.06 = 80.84 : x
  2. Step 2: Convert to fraction form
    105.14/157.06 = 80.84/x
  3. Step 3: Cross multiply
    105.14x = 157.06 × 80.84
  4. Step 4: Simplify right side
    105.14x = 12,696.73
  5. Step 5: Solve for x
    x = 12,696.73/105.14
  6. Step 6: Final answer
    x = 120.76

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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.