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Finding the Fourth Proportional to 38.52, 53.14 and 27

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Solution

The fourth proportional to 38.52, 53.14 and 27 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.52 : 53.14 = 27 : x
  2. Step 2: Convert to fraction form
    38.52/53.14 = 27/x
  3. Step 3: Cross multiply
    38.52x = 53.14 × 27
  4. Step 4: Simplify right side
    38.52x = 1,434.78
  5. Step 5: Solve for x
    x = 1,434.78/38.52
  6. Step 6: Final answer
    x = 37.25

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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.