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Finding the Fourth Proportional to 141.09, 211.49 and 92.28

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Solution

The fourth proportional to 141.09, 211.49 and 92.28 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 211.49 = 92.28 : x
  2. Step 2: Convert to fraction form
    141.09/211.49 = 92.28/x
  3. Step 3: Cross multiply
    141.09x = 211.49 × 92.28
  4. Step 4: Simplify right side
    141.09x = 19,515.84
  5. Step 5: Solve for x
    x = 19,515.84/141.09
  6. Step 6: Final answer
    x = 138.32

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