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Finding the Fourth Proportional to 181.94, 272.92 and 53.69

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Solution

The fourth proportional to 181.94, 272.92 and 53.69 is: 80.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 272.92 = 53.69 : x
  2. Step 2: Convert to fraction form
    181.94/272.92 = 53.69/x
  3. Step 3: Cross multiply
    181.94x = 272.92 × 53.69
  4. Step 4: Simplify right side
    181.94x = 14,653.07
  5. Step 5: Solve for x
    x = 14,653.07/181.94
  6. Step 6: Final answer
    x = 80.54

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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.