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Finding the Fourth Proportional to 112.69, 168.96 and 47.70

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Solution

The fourth proportional to 112.69, 168.96 and 47.70 is: 71.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.69 : 168.96 = 47.70 : x
  2. Step 2: Convert to fraction form
    112.69/168.96 = 47.70/x
  3. Step 3: Cross multiply
    112.69x = 168.96 × 47.70
  4. Step 4: Simplify right side
    112.69x = 8,059.39
  5. Step 5: Solve for x
    x = 8,059.39/112.69
  6. Step 6: Final answer
    x = 71.52

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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.