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Finding the Fourth Proportional to 172.07, 257.76 and 80.64

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Solution

The fourth proportional to 172.07, 257.76 and 80.64 is: 120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.07 : 257.76 = 80.64 : x
  2. Step 2: Convert to fraction form
    172.07/257.76 = 80.64/x
  3. Step 3: Cross multiply
    172.07x = 257.76 × 80.64
  4. Step 4: Simplify right side
    172.07x = 20,785.77
  5. Step 5: Solve for x
    x = 20,785.77/172.07
  6. Step 6: Final answer
    x = 120.80

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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.