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Finding the Fourth Proportional to 45.75, 62.97 and 37.96

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Solution

The fourth proportional to 45.75, 62.97 and 37.96 is: 52.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.75 : 62.97 = 37.96 : x
  2. Step 2: Convert to fraction form
    45.75/62.97 = 37.96/x
  3. Step 3: Cross multiply
    45.75x = 62.97 × 37.96
  4. Step 4: Simplify right side
    45.75x = 2,390.34
  5. Step 5: Solve for x
    x = 2,390.34/45.75
  6. Step 6: Final answer
    x = 52.25

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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.