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Finding the Fourth Proportional to 38.68, 53.65 and 37.31

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Solution

The fourth proportional to 38.68, 53.65 and 37.31 is: 51.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.68 : 53.65 = 37.31 : x
  2. Step 2: Convert to fraction form
    38.68/53.65 = 37.31/x
  3. Step 3: Cross multiply
    38.68x = 53.65 × 37.31
  4. Step 4: Simplify right side
    38.68x = 2,001.72
  5. Step 5: Solve for x
    x = 2,001.72/38.68
  6. Step 6: Final answer
    x = 51.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.