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Finding the Fourth Proportional to 129.66, 178.52 and 107.44

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Solution

The fourth proportional to 129.66, 178.52 and 107.44 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 178.52 = 107.44 : x
  2. Step 2: Convert to fraction form
    129.66/178.52 = 107.44/x
  3. Step 3: Cross multiply
    129.66x = 178.52 × 107.44
  4. Step 4: Simplify right side
    129.66x = 19,180.19
  5. Step 5: Solve for x
    x = 19,180.19/129.66
  6. Step 6: Final answer
    x = 147.93

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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.