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Finding the Fourth Proportional to 172.30, 258.50 and 74.83

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Solution

The fourth proportional to 172.30, 258.50 and 74.83 is: 112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 258.50 = 74.83 : x
  2. Step 2: Convert to fraction form
    172.30/258.50 = 74.83/x
  3. Step 3: Cross multiply
    172.30x = 258.50 × 74.83
  4. Step 4: Simplify right side
    172.30x = 19,343.56
  5. Step 5: Solve for x
    x = 19,343.56/172.30
  6. Step 6: Final answer
    x = 112.27

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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.