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Finding the Fourth Proportional to 38.65, 53.35 and 27.74

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Solution

The fourth proportional to 38.65, 53.35 and 27.74 is: 38.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.65 : 53.35 = 27.74 : x
  2. Step 2: Convert to fraction form
    38.65/53.35 = 27.74/x
  3. Step 3: Cross multiply
    38.65x = 53.35 × 27.74
  4. Step 4: Simplify right side
    38.65x = 1,479.93
  5. Step 5: Solve for x
    x = 1,479.93/38.65
  6. Step 6: Final answer
    x = 38.29

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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.