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Finding the Fourth Proportional to 52.12, 71.91 and 33.69

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Solution

The fourth proportional to 52.12, 71.91 and 33.69 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 71.91 = 33.69 : x
  2. Step 2: Convert to fraction form
    52.12/71.91 = 33.69/x
  3. Step 3: Cross multiply
    52.12x = 71.91 × 33.69
  4. Step 4: Simplify right side
    52.12x = 2,422.65
  5. Step 5: Solve for x
    x = 2,422.65/52.12
  6. Step 6: Final answer
    x = 46.48

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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.