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Finding the Fourth Proportional to 34.12, 51.00 and 29.33

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Solution

The fourth proportional to 34.12, 51.00 and 29.33 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.12 : 51.00 = 29.33 : x
  2. Step 2: Convert to fraction form
    34.12/51.00 = 29.33/x
  3. Step 3: Cross multiply
    34.12x = 51.00 × 29.33
  4. Step 4: Simplify right side
    34.12x = 1,495.66
  5. Step 5: Solve for x
    x = 1,495.66/34.12
  6. Step 6: Final answer
    x = 43.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.