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Finding the Fourth Proportional to 129.47, 194.06 and 71.74

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Solution

The fourth proportional to 129.47, 194.06 and 71.74 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.47 : 194.06 = 71.74 : x
  2. Step 2: Convert to fraction form
    129.47/194.06 = 71.74/x
  3. Step 3: Cross multiply
    129.47x = 194.06 × 71.74
  4. Step 4: Simplify right side
    129.47x = 13,920.89
  5. Step 5: Solve for x
    x = 13,920.89/129.47
  6. Step 6: Final answer
    x = 107.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.