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Finding the Fourth Proportional to 172.02, 257.84 and 74.60

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Solution

The fourth proportional to 172.02, 257.84 and 74.60 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.84 = 74.60 : x
  2. Step 2: Convert to fraction form
    172.02/257.84 = 74.60/x
  3. Step 3: Cross multiply
    172.02x = 257.84 × 74.60
  4. Step 4: Simplify right side
    172.02x = 19,234.49
  5. Step 5: Solve for x
    x = 19,234.49/172.02
  6. Step 6: Final answer
    x = 111.82

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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.