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Finding the Fourth Proportional to 131.65, 182.07 and 115.25

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Solution

The fourth proportional to 131.65, 182.07 and 115.25 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.65 : 182.07 = 115.25 : x
  2. Step 2: Convert to fraction form
    131.65/182.07 = 115.25/x
  3. Step 3: Cross multiply
    131.65x = 182.07 × 115.25
  4. Step 4: Simplify right side
    131.65x = 20,983.57
  5. Step 5: Solve for x
    x = 20,983.57/131.65
  6. Step 6: Final answer
    x = 159.39

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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.