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Finding the Fourth Proportional to 134.12, 185.09 and 75.11

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Solution

The fourth proportional to 134.12, 185.09 and 75.11 is: 103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.12 : 185.09 = 75.11 : x
  2. Step 2: Convert to fraction form
    134.12/185.09 = 75.11/x
  3. Step 3: Cross multiply
    134.12x = 185.09 × 75.11
  4. Step 4: Simplify right side
    134.12x = 13,901.30
  5. Step 5: Solve for x
    x = 13,901.30/134.12
  6. Step 6: Final answer
    x = 103.65

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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.