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Finding the Fourth Proportional to 38.72, 53.40 and 34.60

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Solution

The fourth proportional to 38.72, 53.40 and 34.60 is: 47.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.72 : 53.40 = 34.60 : x
  2. Step 2: Convert to fraction form
    38.72/53.40 = 34.60/x
  3. Step 3: Cross multiply
    38.72x = 53.40 × 34.60
  4. Step 4: Simplify right side
    38.72x = 1,847.64
  5. Step 5: Solve for x
    x = 1,847.64/38.72
  6. Step 6: Final answer
    x = 47.72

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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.