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Finding the Fourth Proportional to 47.89, 72.10 and 35.96

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Solution

The fourth proportional to 47.89, 72.10 and 35.96 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.89 : 72.10 = 35.96 : x
  2. Step 2: Convert to fraction form
    47.89/72.10 = 35.96/x
  3. Step 3: Cross multiply
    47.89x = 72.10 × 35.96
  4. Step 4: Simplify right side
    47.89x = 2,592.72
  5. Step 5: Solve for x
    x = 2,592.72/47.89
  6. Step 6: Final answer
    x = 54.14

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