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Finding the Fourth Proportional to 105.09, 156.92 and 85.87

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Solution

The fourth proportional to 105.09, 156.92 and 85.87 is: 128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 156.92 = 85.87 : x
  2. Step 2: Convert to fraction form
    105.09/156.92 = 85.87/x
  3. Step 3: Cross multiply
    105.09x = 156.92 × 85.87
  4. Step 4: Simplify right side
    105.09x = 13,474.15
  5. Step 5: Solve for x
    x = 13,474.15/105.09
  6. Step 6: Final answer
    x = 128.22

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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.