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Finding the Fourth Proportional to 129.54, 194.01 and 96.90

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Solution

The fourth proportional to 129.54, 194.01 and 96.90 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 194.01 = 96.90 : x
  2. Step 2: Convert to fraction form
    129.54/194.01 = 96.90/x
  3. Step 3: Cross multiply
    129.54x = 194.01 × 96.90
  4. Step 4: Simplify right side
    129.54x = 18,799.57
  5. Step 5: Solve for x
    x = 18,799.57/129.54
  6. Step 6: Final answer
    x = 145.13

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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.