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Finding the Fourth Proportional to 112.89, 169.27 and 35.84

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Solution

The fourth proportional to 112.89, 169.27 and 35.84 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 169.27 = 35.84 : x
  2. Step 2: Convert to fraction form
    112.89/169.27 = 35.84/x
  3. Step 3: Cross multiply
    112.89x = 169.27 × 35.84
  4. Step 4: Simplify right side
    112.89x = 6,066.97
  5. Step 5: Solve for x
    x = 6,066.97/112.89
  6. Step 6: Final answer
    x = 53.74

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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.