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Finding the Fourth Proportional to 172.82, 259.14 and 51.07

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Solution

The fourth proportional to 172.82, 259.14 and 51.07 is: 76.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 259.14 = 51.07 : x
  2. Step 2: Convert to fraction form
    172.82/259.14 = 51.07/x
  3. Step 3: Cross multiply
    172.82x = 259.14 × 51.07
  4. Step 4: Simplify right side
    172.82x = 13,234.15
  5. Step 5: Solve for x
    x = 13,234.15/172.82
  6. Step 6: Final answer
    x = 76.58

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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.