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Finding the Fourth Proportional to 110.25, 151.74 and 97.97

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Solution

The fourth proportional to 110.25, 151.74 and 97.97 is: 134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 151.74 = 97.97 : x
  2. Step 2: Convert to fraction form
    110.25/151.74 = 97.97/x
  3. Step 3: Cross multiply
    110.25x = 151.74 × 97.97
  4. Step 4: Simplify right side
    110.25x = 14,865.21
  5. Step 5: Solve for x
    x = 14,865.21/110.25
  6. Step 6: Final answer
    x = 134.83

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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.