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Finding the Fourth Proportional to 129.54, 193.76 and 106.86

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Solution

The fourth proportional to 129.54, 193.76 and 106.86 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 193.76 = 106.86 : x
  2. Step 2: Convert to fraction form
    129.54/193.76 = 106.86/x
  3. Step 3: Cross multiply
    129.54x = 193.76 × 106.86
  4. Step 4: Simplify right side
    129.54x = 20,705.19
  5. Step 5: Solve for x
    x = 20,705.19/129.54
  6. Step 6: Final answer
    x = 159.84

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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.