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Finding the Fourth Proportional to 172.14, 258 and 80.74

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Solution

The fourth proportional to 172.14, 258 and 80.74 is: 121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.14 : 258 = 80.74 : x
  2. Step 2: Convert to fraction form
    172.14/258 = 80.74/x
  3. Step 3: Cross multiply
    172.14x = 258 × 80.74
  4. Step 4: Simplify right side
    172.14x = 20,830.92
  5. Step 5: Solve for x
    x = 20,830.92/172.14
  6. Step 6: Final answer
    x = 121.01

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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.