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Finding the Fourth Proportional to 112.32, 168.62 and 76.55

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Solution

The fourth proportional to 112.32, 168.62 and 76.55 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 168.62 = 76.55 : x
  2. Step 2: Convert to fraction form
    112.32/168.62 = 76.55/x
  3. Step 3: Cross multiply
    112.32x = 168.62 × 76.55
  4. Step 4: Simplify right side
    112.32x = 12,906.64
  5. Step 5: Solve for x
    x = 12,906.64/112.32
  6. Step 6: Final answer
    x = 114.91

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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.