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Finding the Fourth Proportional to 115.05, 158.74 and 82.25

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Solution

The fourth proportional to 115.05, 158.74 and 82.25 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.05 : 158.74 = 82.25 : x
  2. Step 2: Convert to fraction form
    115.05/158.74 = 82.25/x
  3. Step 3: Cross multiply
    115.05x = 158.74 × 82.25
  4. Step 4: Simplify right side
    115.05x = 13,055.57
  5. Step 5: Solve for x
    x = 13,055.57/115.05
  6. Step 6: Final answer
    x = 113.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.