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Finding the Fourth Proportional to 37.65, 51.93 and 23.82

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Solution

The fourth proportional to 37.65, 51.93 and 23.82 is: 32.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.65 : 51.93 = 23.82 : x
  2. Step 2: Convert to fraction form
    37.65/51.93 = 23.82/x
  3. Step 3: Cross multiply
    37.65x = 51.93 × 23.82
  4. Step 4: Simplify right side
    37.65x = 1,236.71
  5. Step 5: Solve for x
    x = 1,236.71/37.65
  6. Step 6: Final answer
    x = 32.85

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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.