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Finding the Fourth Proportional to 37.75, 52.10 and 24.82

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Solution

The fourth proportional to 37.75, 52.10 and 24.82 is: 34.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.75 : 52.10 = 24.82 : x
  2. Step 2: Convert to fraction form
    37.75/52.10 = 24.82/x
  3. Step 3: Cross multiply
    37.75x = 52.10 × 24.82
  4. Step 4: Simplify right side
    37.75x = 1,293.12
  5. Step 5: Solve for x
    x = 1,293.12/37.75
  6. Step 6: Final answer
    x = 34.25

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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.