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Finding the Fourth Proportional to 112.76, 168.21 and 102.44

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Solution

The fourth proportional to 112.76, 168.21 and 102.44 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.76 : 168.21 = 102.44 : x
  2. Step 2: Convert to fraction form
    112.76/168.21 = 102.44/x
  3. Step 3: Cross multiply
    112.76x = 168.21 × 102.44
  4. Step 4: Simplify right side
    112.76x = 17,231.43
  5. Step 5: Solve for x
    x = 17,231.43/112.76
  6. Step 6: Final answer
    x = 152.82

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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.