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Finding the Fourth Proportional to 112.12, 168.07 and 47.07

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Solution

The fourth proportional to 112.12, 168.07 and 47.07 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 168.07 = 47.07 : x
  2. Step 2: Convert to fraction form
    112.12/168.07 = 47.07/x
  3. Step 3: Cross multiply
    112.12x = 168.07 × 47.07
  4. Step 4: Simplify right side
    112.12x = 7,911.05
  5. Step 5: Solve for x
    x = 7,911.05/112.12
  6. Step 6: Final answer
    x = 70.56

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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.