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Finding the Fourth Proportional to 129.80, 179.12 and 74.54

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Solution

The fourth proportional to 129.80, 179.12 and 74.54 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 179.12 = 74.54 : x
  2. Step 2: Convert to fraction form
    129.80/179.12 = 74.54/x
  3. Step 3: Cross multiply
    129.80x = 179.12 × 74.54
  4. Step 4: Simplify right side
    129.80x = 13,351.60
  5. Step 5: Solve for x
    x = 13,351.60/129.80
  6. Step 6: Final answer
    x = 102.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.