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Finding the Fourth Proportional to 194.68, 291.92 and 71.24

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Solution

The fourth proportional to 194.68, 291.92 and 71.24 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 291.92 = 71.24 : x
  2. Step 2: Convert to fraction form
    194.68/291.92 = 71.24/x
  3. Step 3: Cross multiply
    194.68x = 291.92 × 71.24
  4. Step 4: Simplify right side
    194.68x = 20,796.38
  5. Step 5: Solve for x
    x = 20,796.38/194.68
  6. Step 6: Final answer
    x = 106.82

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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.