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Finding the Fourth Proportional to 112.37, 168.24 and 78.05

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Solution

The fourth proportional to 112.37, 168.24 and 78.05 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.37 : 168.24 = 78.05 : x
  2. Step 2: Convert to fraction form
    112.37/168.24 = 78.05/x
  3. Step 3: Cross multiply
    112.37x = 168.24 × 78.05
  4. Step 4: Simplify right side
    112.37x = 13,130.29
  5. Step 5: Solve for x
    x = 13,130.29/112.37
  6. Step 6: Final answer
    x = 116.85

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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.