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Finding the Fourth Proportional to 38.86, 53.60 and 34.25

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Solution

The fourth proportional to 38.86, 53.60 and 34.25 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.86 : 53.60 = 34.25 : x
  2. Step 2: Convert to fraction form
    38.86/53.60 = 34.25/x
  3. Step 3: Cross multiply
    38.86x = 53.60 × 34.25
  4. Step 4: Simplify right side
    38.86x = 1,835.80
  5. Step 5: Solve for x
    x = 1,835.80/38.86
  6. Step 6: Final answer
    x = 47.24

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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.