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Finding the Fourth Proportional to 181.53, 272.06 and 78.69

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Solution

The fourth proportional to 181.53, 272.06 and 78.69 is: 117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.53 : 272.06 = 78.69 : x
  2. Step 2: Convert to fraction form
    181.53/272.06 = 78.69/x
  3. Step 3: Cross multiply
    181.53x = 272.06 × 78.69
  4. Step 4: Simplify right side
    181.53x = 21,408.40
  5. Step 5: Solve for x
    x = 21,408.40/181.53
  6. Step 6: Final answer
    x = 117.93

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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.