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Finding the Fourth Proportional to 131.09, 180.90 and 75.82

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Solution

The fourth proportional to 131.09, 180.90 and 75.82 is: 104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.09 : 180.90 = 75.82 : x
  2. Step 2: Convert to fraction form
    131.09/180.90 = 75.82/x
  3. Step 3: Cross multiply
    131.09x = 180.90 × 75.82
  4. Step 4: Simplify right side
    131.09x = 13,715.46
  5. Step 5: Solve for x
    x = 13,715.46/131.09
  6. Step 6: Final answer
    x = 104.63

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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.