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Finding the Fourth Proportional to 35.96, 53.86 and 33.52

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Solution

The fourth proportional to 35.96, 53.86 and 33.52 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 53.86 = 33.52 : x
  2. Step 2: Convert to fraction form
    35.96/53.86 = 33.52/x
  3. Step 3: Cross multiply
    35.96x = 53.86 × 33.52
  4. Step 4: Simplify right side
    35.96x = 1,805.39
  5. Step 5: Solve for x
    x = 1,805.39/35.96
  6. Step 6: Final answer
    x = 50.21

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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.