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Finding the Fourth Proportional to 129.43, 193.86 and 74.46

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Solution

The fourth proportional to 129.43, 193.86 and 74.46 is: 111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.43 : 193.86 = 74.46 : x
  2. Step 2: Convert to fraction form
    129.43/193.86 = 74.46/x
  3. Step 3: Cross multiply
    129.43x = 193.86 × 74.46
  4. Step 4: Simplify right side
    129.43x = 14,434.82
  5. Step 5: Solve for x
    x = 14,434.82/129.43
  6. Step 6: Final answer
    x = 111.53

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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.