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Finding the Fourth Proportional to 129.68, 178.99 and 77.22

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Solution

The fourth proportional to 129.68, 178.99 and 77.22 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.68 : 178.99 = 77.22 : x
  2. Step 2: Convert to fraction form
    129.68/178.99 = 77.22/x
  3. Step 3: Cross multiply
    129.68x = 178.99 × 77.22
  4. Step 4: Simplify right side
    129.68x = 13,821.85
  5. Step 5: Solve for x
    x = 13,821.85/129.68
  6. Step 6: Final answer
    x = 106.58

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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.