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Finding the Fourth Proportional to 129.97, 194.82 and 64.93

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Solution

The fourth proportional to 129.97, 194.82 and 64.93 is: 97.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 194.82 = 64.93 : x
  2. Step 2: Convert to fraction form
    129.97/194.82 = 64.93/x
  3. Step 3: Cross multiply
    129.97x = 194.82 × 64.93
  4. Step 4: Simplify right side
    129.97x = 12,649.66
  5. Step 5: Solve for x
    x = 12,649.66/129.97
  6. Step 6: Final answer
    x = 97.33

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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.