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Finding the Fourth Proportional to 129.62, 193.53 and 106.83

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Solution

The fourth proportional to 129.62, 193.53 and 106.83 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 193.53 = 106.83 : x
  2. Step 2: Convert to fraction form
    129.62/193.53 = 106.83/x
  3. Step 3: Cross multiply
    129.62x = 193.53 × 106.83
  4. Step 4: Simplify right side
    129.62x = 20,674.81
  5. Step 5: Solve for x
    x = 20,674.81/129.62
  6. Step 6: Final answer
    x = 159.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.