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Finding the Fourth Proportional to 129.09, 193.29 and 106

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Solution

The fourth proportional to 129.09, 193.29 and 106 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.09 : 193.29 = 106 : x
  2. Step 2: Convert to fraction form
    129.09/193.29 = 106/x
  3. Step 3: Cross multiply
    129.09x = 193.29 × 106
  4. Step 4: Simplify right side
    129.09x = 20,488.74
  5. Step 5: Solve for x
    x = 20,488.74/129.09
  6. Step 6: Final answer
    x = 158.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.