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Finding the Fourth Proportional to 168.87, 253.32 and 114.81

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Solution

The fourth proportional to 168.87, 253.32 and 114.81 is: 172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.87 : 253.32 = 114.81 : x
  2. Step 2: Convert to fraction form
    168.87/253.32 = 114.81/x
  3. Step 3: Cross multiply
    168.87x = 253.32 × 114.81
  4. Step 4: Simplify right side
    168.87x = 29,083.67
  5. Step 5: Solve for x
    x = 29,083.67/168.87
  6. Step 6: Final answer
    x = 172.23

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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.