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Finding the Fourth Proportional to 129.85, 194.59 and 97.81

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Solution

The fourth proportional to 129.85, 194.59 and 97.81 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.85 : 194.59 = 97.81 : x
  2. Step 2: Convert to fraction form
    129.85/194.59 = 97.81/x
  3. Step 3: Cross multiply
    129.85x = 194.59 × 97.81
  4. Step 4: Simplify right side
    129.85x = 19,032.85
  5. Step 5: Solve for x
    x = 19,032.85/129.85
  6. Step 6: Final answer
    x = 146.58

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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.