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Finding the Fourth Proportional to 131.94, 181.17 and 115.65

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Solution

The fourth proportional to 131.94, 181.17 and 115.65 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 181.17 = 115.65 : x
  2. Step 2: Convert to fraction form
    131.94/181.17 = 115.65/x
  3. Step 3: Cross multiply
    131.94x = 181.17 × 115.65
  4. Step 4: Simplify right side
    131.94x = 20,952.31
  5. Step 5: Solve for x
    x = 20,952.31/131.94
  6. Step 6: Final answer
    x = 158.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.