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Finding the Fourth Proportional to 112.86, 168.08 and 105.34

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Solution

The fourth proportional to 112.86, 168.08 and 105.34 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 168.08 = 105.34 : x
  2. Step 2: Convert to fraction form
    112.86/168.08 = 105.34/x
  3. Step 3: Cross multiply
    112.86x = 168.08 × 105.34
  4. Step 4: Simplify right side
    112.86x = 17,705.55
  5. Step 5: Solve for x
    x = 17,705.55/112.86
  6. Step 6: Final answer
    x = 156.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.