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Finding the Fourth Proportional to 131.27, 181.05 and 87.62

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Solution

The fourth proportional to 131.27, 181.05 and 87.62 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.27 : 181.05 = 87.62 : x
  2. Step 2: Convert to fraction form
    131.27/181.05 = 87.62/x
  3. Step 3: Cross multiply
    131.27x = 181.05 × 87.62
  4. Step 4: Simplify right side
    131.27x = 15,863.60
  5. Step 5: Solve for x
    x = 15,863.60/131.27
  6. Step 6: Final answer
    x = 120.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.