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Finding the Fourth Proportional to 49.51, 68.32 and 27.38

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Solution

The fourth proportional to 49.51, 68.32 and 27.38 is: 37.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.51 : 68.32 = 27.38 : x
  2. Step 2: Convert to fraction form
    49.51/68.32 = 27.38/x
  3. Step 3: Cross multiply
    49.51x = 68.32 × 27.38
  4. Step 4: Simplify right side
    49.51x = 1,870.69
  5. Step 5: Solve for x
    x = 1,870.69/49.51
  6. Step 6: Final answer
    x = 37.78

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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.