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Finding the Fourth Proportional to 38.96, 53.80 and 30.32

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Solution

The fourth proportional to 38.96, 53.80 and 30.32 is: 41.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.96 : 53.80 = 30.32 : x
  2. Step 2: Convert to fraction form
    38.96/53.80 = 30.32/x
  3. Step 3: Cross multiply
    38.96x = 53.80 × 30.32
  4. Step 4: Simplify right side
    38.96x = 1,631.22
  5. Step 5: Solve for x
    x = 1,631.22/38.96
  6. Step 6: Final answer
    x = 41.87

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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.