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Finding the Fourth Proportional to 129.82, 179.64 and 111.37

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Solution

The fourth proportional to 129.82, 179.64 and 111.37 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.82 : 179.64 = 111.37 : x
  2. Step 2: Convert to fraction form
    129.82/179.64 = 111.37/x
  3. Step 3: Cross multiply
    129.82x = 179.64 × 111.37
  4. Step 4: Simplify right side
    129.82x = 20,006.51
  5. Step 5: Solve for x
    x = 20,006.51/129.82
  6. Step 6: Final answer
    x = 154.11

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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.