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Finding the Fourth Proportional to 194.24, 291.06 and 86.12

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Solution

The fourth proportional to 194.24, 291.06 and 86.12 is: 129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 291.06 = 86.12 : x
  2. Step 2: Convert to fraction form
    194.24/291.06 = 86.12/x
  3. Step 3: Cross multiply
    194.24x = 291.06 × 86.12
  4. Step 4: Simplify right side
    194.24x = 25,066.09
  5. Step 5: Solve for x
    x = 25,066.09/194.24
  6. Step 6: Final answer
    x = 129.05

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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.