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Finding the Fourth Proportional to 194.24, 291.29 and 85.97

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Solution

The fourth proportional to 194.24, 291.29 and 85.97 is: 128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 291.29 = 85.97 : x
  2. Step 2: Convert to fraction form
    194.24/291.29 = 85.97/x
  3. Step 3: Cross multiply
    194.24x = 291.29 × 85.97
  4. Step 4: Simplify right side
    194.24x = 25,040.32
  5. Step 5: Solve for x
    x = 25,040.32/194.24
  6. Step 6: Final answer
    x = 128.92

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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.