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Finding the Fourth Proportional to 129.18, 176.72 and 128.82

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Solution

The fourth proportional to 129.18, 176.72 and 128.82 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.18 : 176.72 = 128.82 : x
  2. Step 2: Convert to fraction form
    129.18/176.72 = 128.82/x
  3. Step 3: Cross multiply
    129.18x = 176.72 × 128.82
  4. Step 4: Simplify right side
    129.18x = 22,764.43
  5. Step 5: Solve for x
    x = 22,764.43/129.18
  6. Step 6: Final answer
    x = 176.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.