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Finding the Fourth Proportional to 181.78, 272.35 and 95.06

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Solution

The fourth proportional to 181.78, 272.35 and 95.06 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 272.35 = 95.06 : x
  2. Step 2: Convert to fraction form
    181.78/272.35 = 95.06/x
  3. Step 3: Cross multiply
    181.78x = 272.35 × 95.06
  4. Step 4: Simplify right side
    181.78x = 25,889.59
  5. Step 5: Solve for x
    x = 25,889.59/181.78
  6. Step 6: Final answer
    x = 142.42

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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.