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Finding the Fourth Proportional to 131.19, 180.86 and 107.85

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Solution

The fourth proportional to 131.19, 180.86 and 107.85 is: 148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.19 : 180.86 = 107.85 : x
  2. Step 2: Convert to fraction form
    131.19/180.86 = 107.85/x
  3. Step 3: Cross multiply
    131.19x = 180.86 × 107.85
  4. Step 4: Simplify right side
    131.19x = 19,505.21
  5. Step 5: Solve for x
    x = 19,505.21/131.19
  6. Step 6: Final answer
    x = 148.68

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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.