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Finding the Fourth Proportional to 181.65, 272.49 and 51.66

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Solution

The fourth proportional to 181.65, 272.49 and 51.66 is: 77.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 272.49 = 51.66 : x
  2. Step 2: Convert to fraction form
    181.65/272.49 = 51.66/x
  3. Step 3: Cross multiply
    181.65x = 272.49 × 51.66
  4. Step 4: Simplify right side
    181.65x = 14,076.83
  5. Step 5: Solve for x
    x = 14,076.83/181.65
  6. Step 6: Final answer
    x = 77.49

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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.