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Finding the Fourth Proportional to 34.51, 51.82 and 22.57

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Solution

The fourth proportional to 34.51, 51.82 and 22.57 is: 33.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.51 : 51.82 = 22.57 : x
  2. Step 2: Convert to fraction form
    34.51/51.82 = 22.57/x
  3. Step 3: Cross multiply
    34.51x = 51.82 × 22.57
  4. Step 4: Simplify right side
    34.51x = 1,169.58
  5. Step 5: Solve for x
    x = 1,169.58/34.51
  6. Step 6: Final answer
    x = 33.89

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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.