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Finding the Fourth Proportional to 47.96, 72.28 and 43.15

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Solution

The fourth proportional to 47.96, 72.28 and 43.15 is: 65.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.96 : 72.28 = 43.15 : x
  2. Step 2: Convert to fraction form
    47.96/72.28 = 43.15/x
  3. Step 3: Cross multiply
    47.96x = 72.28 × 43.15
  4. Step 4: Simplify right side
    47.96x = 3,118.97
  5. Step 5: Solve for x
    x = 3,118.97/47.96
  6. Step 6: Final answer
    x = 65.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.