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Finding the Fourth Proportional to 51.82, 71.50 and 29.68

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Solution

The fourth proportional to 51.82, 71.50 and 29.68 is: 40.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.82 : 71.50 = 29.68 : x
  2. Step 2: Convert to fraction form
    51.82/71.50 = 29.68/x
  3. Step 3: Cross multiply
    51.82x = 71.50 × 29.68
  4. Step 4: Simplify right side
    51.82x = 2,122.43
  5. Step 5: Solve for x
    x = 2,122.43/51.82
  6. Step 6: Final answer
    x = 40.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.