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Finding the Fourth Proportional to 38.69, 53.75 and 38.32

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Solution

The fourth proportional to 38.69, 53.75 and 38.32 is: 53.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.69 : 53.75 = 38.32 : x
  2. Step 2: Convert to fraction form
    38.69/53.75 = 38.32/x
  3. Step 3: Cross multiply
    38.69x = 53.75 × 38.32
  4. Step 4: Simplify right side
    38.69x = 2,059.70
  5. Step 5: Solve for x
    x = 2,059.70/38.69
  6. Step 6: Final answer
    x = 53.24

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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.