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Finding the Fourth Proportional to 181.56, 272.48 and 104.56

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Solution

The fourth proportional to 181.56, 272.48 and 104.56 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 272.48 = 104.56 : x
  2. Step 2: Convert to fraction form
    181.56/272.48 = 104.56/x
  3. Step 3: Cross multiply
    181.56x = 272.48 × 104.56
  4. Step 4: Simplify right side
    181.56x = 28,490.51
  5. Step 5: Solve for x
    x = 28,490.51/181.56
  6. Step 6: Final answer
    x = 156.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.