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Finding the Fourth Proportional to 181.88, 272.92 and 73.68

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Solution

The fourth proportional to 181.88, 272.92 and 73.68 is: 110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 272.92 = 73.68 : x
  2. Step 2: Convert to fraction form
    181.88/272.92 = 73.68/x
  3. Step 3: Cross multiply
    181.88x = 272.92 × 73.68
  4. Step 4: Simplify right side
    181.88x = 20,108.75
  5. Step 5: Solve for x
    x = 20,108.75/181.88
  6. Step 6: Final answer
    x = 110.56

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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.