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Finding the Fourth Proportional to 112.42, 167.63 and 96.94

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Solution

The fourth proportional to 112.42, 167.63 and 96.94 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.42 : 167.63 = 96.94 : x
  2. Step 2: Convert to fraction form
    112.42/167.63 = 96.94/x
  3. Step 3: Cross multiply
    112.42x = 167.63 × 96.94
  4. Step 4: Simplify right side
    112.42x = 16,250.05
  5. Step 5: Solve for x
    x = 16,250.05/112.42
  6. Step 6: Final answer
    x = 144.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.