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Finding the Fourth Proportional to 129.66, 179.08 and 105.36

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Solution

The fourth proportional to 129.66, 179.08 and 105.36 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 179.08 = 105.36 : x
  2. Step 2: Convert to fraction form
    129.66/179.08 = 105.36/x
  3. Step 3: Cross multiply
    129.66x = 179.08 × 105.36
  4. Step 4: Simplify right side
    129.66x = 18,867.87
  5. Step 5: Solve for x
    x = 18,867.87/129.66
  6. Step 6: Final answer
    x = 145.52

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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.