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Finding the Fourth Proportional to 38.14, 52.62 and 23.60

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Solution

The fourth proportional to 38.14, 52.62 and 23.60 is: 32.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.14 : 52.62 = 23.60 : x
  2. Step 2: Convert to fraction form
    38.14/52.62 = 23.60/x
  3. Step 3: Cross multiply
    38.14x = 52.62 × 23.60
  4. Step 4: Simplify right side
    38.14x = 1,241.83
  5. Step 5: Solve for x
    x = 1,241.83/38.14
  6. Step 6: Final answer
    x = 32.56

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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.