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Finding the Fourth Proportional to 134.10, 185.09 and 81.66

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Solution

The fourth proportional to 134.10, 185.09 and 81.66 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.10 : 185.09 = 81.66 : x
  2. Step 2: Convert to fraction form
    134.10/185.09 = 81.66/x
  3. Step 3: Cross multiply
    134.10x = 185.09 × 81.66
  4. Step 4: Simplify right side
    134.10x = 15,114.45
  5. Step 5: Solve for x
    x = 15,114.45/134.10
  6. Step 6: Final answer
    x = 112.71

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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.