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Finding the Fourth Proportional to 141.23, 195.09 and 110.54

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Solution

The fourth proportional to 141.23, 195.09 and 110.54 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 195.09 = 110.54 : x
  2. Step 2: Convert to fraction form
    141.23/195.09 = 110.54/x
  3. Step 3: Cross multiply
    141.23x = 195.09 × 110.54
  4. Step 4: Simplify right side
    141.23x = 21,564.27
  5. Step 5: Solve for x
    x = 21,564.27/141.23
  6. Step 6: Final answer
    x = 152.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.