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Finding the Fourth Proportional to 71.52, 107.26 and 35.44

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Solution

The fourth proportional to 71.52, 107.26 and 35.44 is: 53.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 107.26 = 35.44 : x
  2. Step 2: Convert to fraction form
    71.52/107.26 = 35.44/x
  3. Step 3: Cross multiply
    71.52x = 107.26 × 35.44
  4. Step 4: Simplify right side
    71.52x = 3,800.94
  5. Step 5: Solve for x
    x = 3,800.94/71.52
  6. Step 6: Final answer
    x = 53.15

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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.