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Finding the Fourth Proportional to 74.63, 111.87 and 38.09

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Solution

The fourth proportional to 74.63, 111.87 and 38.09 is: 57.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 111.87 = 38.09 : x
  2. Step 2: Convert to fraction form
    74.63/111.87 = 38.09/x
  3. Step 3: Cross multiply
    74.63x = 111.87 × 38.09
  4. Step 4: Simplify right side
    74.63x = 4,261.41
  5. Step 5: Solve for x
    x = 4,261.41/74.63
  6. Step 6: Final answer
    x = 57.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.