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Finding the Fourth Proportional to 129.91, 193.82 and 129

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Solution

The fourth proportional to 129.91, 193.82 and 129 is: 192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.91 : 193.82 = 129 : x
  2. Step 2: Convert to fraction form
    129.91/193.82 = 129/x
  3. Step 3: Cross multiply
    129.91x = 193.82 × 129
  4. Step 4: Simplify right side
    129.91x = 25,002.78
  5. Step 5: Solve for x
    x = 25,002.78/129.91
  6. Step 6: Final answer
    x = 192.46

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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.