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Finding the Fourth Proportional to 34.34, 51.45 and 28.96

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Solution

The fourth proportional to 34.34, 51.45 and 28.96 is: 43.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.34 : 51.45 = 28.96 : x
  2. Step 2: Convert to fraction form
    34.34/51.45 = 28.96/x
  3. Step 3: Cross multiply
    34.34x = 51.45 × 28.96
  4. Step 4: Simplify right side
    34.34x = 1,489.59
  5. Step 5: Solve for x
    x = 1,489.59/34.34
  6. Step 6: Final answer
    x = 43.38

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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.