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Finding the Fourth Proportional to 172.24, 257.92 and 111.29

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Solution

The fourth proportional to 172.24, 257.92 and 111.29 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 257.92 = 111.29 : x
  2. Step 2: Convert to fraction form
    172.24/257.92 = 111.29/x
  3. Step 3: Cross multiply
    172.24x = 257.92 × 111.29
  4. Step 4: Simplify right side
    172.24x = 28,702.35
  5. Step 5: Solve for x
    x = 28,702.35/172.24
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.