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Finding the Fourth Proportional to 129.07, 177.96 and 105.71

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Solution

The fourth proportional to 129.07, 177.96 and 105.71 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.07 : 177.96 = 105.71 : x
  2. Step 2: Convert to fraction form
    129.07/177.96 = 105.71/x
  3. Step 3: Cross multiply
    129.07x = 177.96 × 105.71
  4. Step 4: Simplify right side
    129.07x = 18,812.15
  5. Step 5: Solve for x
    x = 18,812.15/129.07
  6. Step 6: Final answer
    x = 145.75

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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.