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Finding the Fourth Proportional to 38.60, 57.74 and 34.10

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Solution

The fourth proportional to 38.60, 57.74 and 34.10 is: 51.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 57.74 = 34.10 : x
  2. Step 2: Convert to fraction form
    38.60/57.74 = 34.10/x
  3. Step 3: Cross multiply
    38.60x = 57.74 × 34.10
  4. Step 4: Simplify right side
    38.60x = 1,968.93
  5. Step 5: Solve for x
    x = 1,968.93/38.60
  6. Step 6: Final answer
    x = 51.01

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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.