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Finding the Fourth Proportional to 181.59, 272.37 and 59.91

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Solution

The fourth proportional to 181.59, 272.37 and 59.91 is: 89.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.59 : 272.37 = 59.91 : x
  2. Step 2: Convert to fraction form
    181.59/272.37 = 59.91/x
  3. Step 3: Cross multiply
    181.59x = 272.37 × 59.91
  4. Step 4: Simplify right side
    181.59x = 16,317.69
  5. Step 5: Solve for x
    x = 16,317.69/181.59
  6. Step 6: Final answer
    x = 89.86

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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.