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Finding the Fourth Proportional to 47.83, 72.14 and 41.15

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Solution

The fourth proportional to 47.83, 72.14 and 41.15 is: 62.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.83 : 72.14 = 41.15 : x
  2. Step 2: Convert to fraction form
    47.83/72.14 = 41.15/x
  3. Step 3: Cross multiply
    47.83x = 72.14 × 41.15
  4. Step 4: Simplify right side
    47.83x = 2,968.56
  5. Step 5: Solve for x
    x = 2,968.56/47.83
  6. Step 6: Final answer
    x = 62.06

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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.