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Finding the Fourth Proportional to 112.69, 168.89 and 99.63

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Solution

The fourth proportional to 112.69, 168.89 and 99.63 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.69 : 168.89 = 99.63 : x
  2. Step 2: Convert to fraction form
    112.69/168.89 = 99.63/x
  3. Step 3: Cross multiply
    112.69x = 168.89 × 99.63
  4. Step 4: Simplify right side
    112.69x = 16,826.01
  5. Step 5: Solve for x
    x = 16,826.01/112.69
  6. Step 6: Final answer
    x = 149.31

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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.