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Finding the Fourth Proportional to 129.29, 194.30 and 68.50

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Solution

The fourth proportional to 129.29, 194.30 and 68.50 is: 102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 194.30 = 68.50 : x
  2. Step 2: Convert to fraction form
    129.29/194.30 = 68.50/x
  3. Step 3: Cross multiply
    129.29x = 194.30 × 68.50
  4. Step 4: Simplify right side
    129.29x = 13,308.24
  5. Step 5: Solve for x
    x = 13,308.24/129.29
  6. Step 6: Final answer
    x = 102.93

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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.