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Finding the Fourth Proportional to 129.69, 178.79 and 106.34

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Solution

The fourth proportional to 129.69, 178.79 and 106.34 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 178.79 = 106.34 : x
  2. Step 2: Convert to fraction form
    129.69/178.79 = 106.34/x
  3. Step 3: Cross multiply
    129.69x = 178.79 × 106.34
  4. Step 4: Simplify right side
    129.69x = 19,012.44
  5. Step 5: Solve for x
    x = 19,012.44/129.69
  6. Step 6: Final answer
    x = 146.60

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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.