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Finding the Fourth Proportional to 129.69, 179.14 and 105.22

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Solution

The fourth proportional to 129.69, 179.14 and 105.22 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 179.14 = 105.22 : x
  2. Step 2: Convert to fraction form
    129.69/179.14 = 105.22/x
  3. Step 3: Cross multiply
    129.69x = 179.14 × 105.22
  4. Step 4: Simplify right side
    129.69x = 18,848.40
  5. Step 5: Solve for x
    x = 18,848.40/129.69
  6. Step 6: Final answer
    x = 145.33

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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.