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Finding the Fourth Proportional to 51.86, 71.44 and 38.05

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Solution

The fourth proportional to 51.86, 71.44 and 38.05 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.86 : 71.44 = 38.05 : x
  2. Step 2: Convert to fraction form
    51.86/71.44 = 38.05/x
  3. Step 3: Cross multiply
    51.86x = 71.44 × 38.05
  4. Step 4: Simplify right side
    51.86x = 2,718.02
  5. Step 5: Solve for x
    x = 2,718.02/51.86
  6. Step 6: Final answer
    x = 52.41

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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.