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Finding the Fourth Proportional to 52.21, 71.99 and 33.78

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Solution

The fourth proportional to 52.21, 71.99 and 33.78 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.21 : 71.99 = 33.78 : x
  2. Step 2: Convert to fraction form
    52.21/71.99 = 33.78/x
  3. Step 3: Cross multiply
    52.21x = 71.99 × 33.78
  4. Step 4: Simplify right side
    52.21x = 2,432.05
  5. Step 5: Solve for x
    x = 2,432.05/52.21
  6. Step 6: Final answer
    x = 46.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.