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Finding the Fourth Proportional to 131.09, 180.85 and 75.81

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Solution

The fourth proportional to 131.09, 180.85 and 75.81 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.09 : 180.85 = 75.81 : x
  2. Step 2: Convert to fraction form
    131.09/180.85 = 75.81/x
  3. Step 3: Cross multiply
    131.09x = 180.85 × 75.81
  4. Step 4: Simplify right side
    131.09x = 13,710.24
  5. Step 5: Solve for x
    x = 13,710.24/131.09
  6. Step 6: Final answer
    x = 104.59

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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.