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Finding the Fourth Proportional to 112.15, 168.16 and 73.65

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Solution

The fourth proportional to 112.15, 168.16 and 73.65 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 168.16 = 73.65 : x
  2. Step 2: Convert to fraction form
    112.15/168.16 = 73.65/x
  3. Step 3: Cross multiply
    112.15x = 168.16 × 73.65
  4. Step 4: Simplify right side
    112.15x = 12,384.62
  5. Step 5: Solve for x
    x = 12,384.62/112.15
  6. Step 6: Final answer
    x = 110.43

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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.