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Finding the Fourth Proportional to 92.75, 126.97 and 90.32

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Solution

The fourth proportional to 92.75, 126.97 and 90.32 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.75 : 126.97 = 90.32 : x
  2. Step 2: Convert to fraction form
    92.75/126.97 = 90.32/x
  3. Step 3: Cross multiply
    92.75x = 126.97 × 90.32
  4. Step 4: Simplify right side
    92.75x = 11,467.07
  5. Step 5: Solve for x
    x = 11,467.07/92.75
  6. Step 6: Final answer
    x = 123.64

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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.