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Finding the Fourth Proportional to 129.91, 179.27 and 71.69

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Solution

The fourth proportional to 129.91, 179.27 and 71.69 is: 98.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.91 : 179.27 = 71.69 : x
  2. Step 2: Convert to fraction form
    129.91/179.27 = 71.69/x
  3. Step 3: Cross multiply
    129.91x = 179.27 × 71.69
  4. Step 4: Simplify right side
    129.91x = 12,851.87
  5. Step 5: Solve for x
    x = 12,851.87/129.91
  6. Step 6: Final answer
    x = 98.93

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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.