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Finding the Fourth Proportional to 181.59, 272.54 and 95.02

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Solution

The fourth proportional to 181.59, 272.54 and 95.02 is: 142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.59 : 272.54 = 95.02 : x
  2. Step 2: Convert to fraction form
    181.59/272.54 = 95.02/x
  3. Step 3: Cross multiply
    181.59x = 272.54 × 95.02
  4. Step 4: Simplify right side
    181.59x = 25,896.28
  5. Step 5: Solve for x
    x = 25,896.28/181.59
  6. Step 6: Final answer
    x = 142.61

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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.