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Finding the Fourth Proportional to 129.90, 194.86 and 61.42

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Solution

The fourth proportional to 129.90, 194.86 and 61.42 is: 92.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.90 : 194.86 = 61.42 : x
  2. Step 2: Convert to fraction form
    129.90/194.86 = 61.42/x
  3. Step 3: Cross multiply
    129.90x = 194.86 × 61.42
  4. Step 4: Simplify right side
    129.90x = 11,968.30
  5. Step 5: Solve for x
    x = 11,968.30/129.90
  6. Step 6: Final answer
    x = 92.13

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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.