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Finding the Fourth Proportional to 172.24, 258.42 and 120.76

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Solution

The fourth proportional to 172.24, 258.42 and 120.76 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 258.42 = 120.76 : x
  2. Step 2: Convert to fraction form
    172.24/258.42 = 120.76/x
  3. Step 3: Cross multiply
    172.24x = 258.42 × 120.76
  4. Step 4: Simplify right side
    172.24x = 31,206.80
  5. Step 5: Solve for x
    x = 31,206.80/172.24
  6. Step 6: Final answer
    x = 181.18

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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.