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Finding the Fourth Proportional to 168.24, 232.32 and 110.16

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Solution

The fourth proportional to 168.24, 232.32 and 110.16 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 232.32 = 110.16 : x
  2. Step 2: Convert to fraction form
    168.24/232.32 = 110.16/x
  3. Step 3: Cross multiply
    168.24x = 232.32 × 110.16
  4. Step 4: Simplify right side
    168.24x = 25,592.37
  5. Step 5: Solve for x
    x = 25,592.37/168.24
  6. Step 6: Final answer
    x = 152.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.