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Finding the Fourth Proportional to 97.82, 146.99 and 92.22

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Solution

The fourth proportional to 97.82, 146.99 and 92.22 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 146.99 = 92.22 : x
  2. Step 2: Convert to fraction form
    97.82/146.99 = 92.22/x
  3. Step 3: Cross multiply
    97.82x = 146.99 × 92.22
  4. Step 4: Simplify right side
    97.82x = 13,555.66
  5. Step 5: Solve for x
    x = 13,555.66/97.82
  6. Step 6: Final answer
    x = 138.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.