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Finding the Fourth Proportional to 38.78, 53.50 and 24.22

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Solution

The fourth proportional to 38.78, 53.50 and 24.22 is: 33.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.78 : 53.50 = 24.22 : x
  2. Step 2: Convert to fraction form
    38.78/53.50 = 24.22/x
  3. Step 3: Cross multiply
    38.78x = 53.50 × 24.22
  4. Step 4: Simplify right side
    38.78x = 1,295.77
  5. Step 5: Solve for x
    x = 1,295.77/38.78
  6. Step 6: Final answer
    x = 33.41

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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.