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Finding the Fourth Proportional to 168.24, 232.14 and 106.10

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Solution

The fourth proportional to 168.24, 232.14 and 106.10 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 232.14 = 106.10 : x
  2. Step 2: Convert to fraction form
    168.24/232.14 = 106.10/x
  3. Step 3: Cross multiply
    168.24x = 232.14 × 106.10
  4. Step 4: Simplify right side
    168.24x = 24,630.05
  5. Step 5: Solve for x
    x = 24,630.05/168.24
  6. Step 6: Final answer
    x = 146.40

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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.