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Finding the Fourth Proportional to 37.64, 51.82 and 32.78

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Solution

The fourth proportional to 37.64, 51.82 and 32.78 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.64 : 51.82 = 32.78 : x
  2. Step 2: Convert to fraction form
    37.64/51.82 = 32.78/x
  3. Step 3: Cross multiply
    37.64x = 51.82 × 32.78
  4. Step 4: Simplify right side
    37.64x = 1,698.66
  5. Step 5: Solve for x
    x = 1,698.66/37.64
  6. Step 6: Final answer
    x = 45.13

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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.