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Finding the Fourth Proportional to 71.52, 107.17 and 35.43

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Solution

The fourth proportional to 71.52, 107.17 and 35.43 is: 53.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 107.17 = 35.43 : x
  2. Step 2: Convert to fraction form
    71.52/107.17 = 35.43/x
  3. Step 3: Cross multiply
    71.52x = 107.17 × 35.43
  4. Step 4: Simplify right side
    71.52x = 3,796.94
  5. Step 5: Solve for x
    x = 3,796.94/71.52
  6. Step 6: Final answer
    x = 53.09

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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.