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Finding the Fourth Proportional to 51.97, 77.89 and 29.10

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Solution

The fourth proportional to 51.97, 77.89 and 29.10 is: 43.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.97 : 77.89 = 29.10 : x
  2. Step 2: Convert to fraction form
    51.97/77.89 = 29.10/x
  3. Step 3: Cross multiply
    51.97x = 77.89 × 29.10
  4. Step 4: Simplify right side
    51.97x = 2,266.60
  5. Step 5: Solve for x
    x = 2,266.60/51.97
  6. Step 6: Final answer
    x = 43.61

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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.