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Finding the Fourth Proportional to 94.62, 129.80 and 92.22

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Solution

The fourth proportional to 94.62, 129.80 and 92.22 is: 126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 129.80 = 92.22 : x
  2. Step 2: Convert to fraction form
    94.62/129.80 = 92.22/x
  3. Step 3: Cross multiply
    94.62x = 129.80 × 92.22
  4. Step 4: Simplify right side
    94.62x = 11,970.16
  5. Step 5: Solve for x
    x = 11,970.16/94.62
  6. Step 6: Final answer
    x = 126.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.