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Finding the Fourth Proportional to 129.96, 179.36 and 74.71

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Solution

The fourth proportional to 129.96, 179.36 and 74.71 is: 103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 179.36 = 74.71 : x
  2. Step 2: Convert to fraction form
    129.96/179.36 = 74.71/x
  3. Step 3: Cross multiply
    129.96x = 179.36 × 74.71
  4. Step 4: Simplify right side
    129.96x = 13,399.99
  5. Step 5: Solve for x
    x = 13,399.99/129.96
  6. Step 6: Final answer
    x = 103.11

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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.