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Finding the Fourth Proportional to 38.82, 53.57 and 24.07

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Solution

The fourth proportional to 38.82, 53.57 and 24.07 is: 33.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.82 : 53.57 = 24.07 : x
  2. Step 2: Convert to fraction form
    38.82/53.57 = 24.07/x
  3. Step 3: Cross multiply
    38.82x = 53.57 × 24.07
  4. Step 4: Simplify right side
    38.82x = 1,289.43
  5. Step 5: Solve for x
    x = 1,289.43/38.82
  6. Step 6: Final answer
    x = 33.22

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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.