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Finding the Fourth Proportional to 172.86, 259.31 and 51.09

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Solution

The fourth proportional to 172.86, 259.31 and 51.09 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 259.31 = 51.09 : x
  2. Step 2: Convert to fraction form
    172.86/259.31 = 51.09/x
  3. Step 3: Cross multiply
    172.86x = 259.31 × 51.09
  4. Step 4: Simplify right side
    172.86x = 13,247.89
  5. Step 5: Solve for x
    x = 13,247.89/172.86
  6. Step 6: Final answer
    x = 76.64

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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.