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Finding the Fourth Proportional to 141.36, 212.26 and 112.64

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Solution

The fourth proportional to 141.36, 212.26 and 112.64 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.36 : 212.26 = 112.64 : x
  2. Step 2: Convert to fraction form
    141.36/212.26 = 112.64/x
  3. Step 3: Cross multiply
    141.36x = 212.26 × 112.64
  4. Step 4: Simplify right side
    141.36x = 23,908.97
  5. Step 5: Solve for x
    x = 23,908.97/141.36
  6. Step 6: Final answer
    x = 169.14

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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.