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Finding the Fourth Proportional to 53.86, 80.64 and 38.62

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Solution

The fourth proportional to 53.86, 80.64 and 38.62 is: 57.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.86 : 80.64 = 38.62 : x
  2. Step 2: Convert to fraction form
    53.86/80.64 = 38.62/x
  3. Step 3: Cross multiply
    53.86x = 80.64 × 38.62
  4. Step 4: Simplify right side
    53.86x = 3,114.32
  5. Step 5: Solve for x
    x = 3,114.32/53.86
  6. Step 6: Final answer
    x = 57.82

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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.