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Finding the Fourth Proportional to 181.76, 272.64 and 51.76

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Solution

The fourth proportional to 181.76, 272.64 and 51.76 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.76 : 272.64 = 51.76 : x
  2. Step 2: Convert to fraction form
    181.76/272.64 = 51.76/x
  3. Step 3: Cross multiply
    181.76x = 272.64 × 51.76
  4. Step 4: Simplify right side
    181.76x = 14,112.38
  5. Step 5: Solve for x
    x = 14,112.38/181.76
  6. Step 6: Final answer
    x = 77.64

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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.