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Finding the Fourth Proportional to 47.96, 66.13 and 41.07

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Solution

The fourth proportional to 47.96, 66.13 and 41.07 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.96 : 66.13 = 41.07 : x
  2. Step 2: Convert to fraction form
    47.96/66.13 = 41.07/x
  3. Step 3: Cross multiply
    47.96x = 66.13 × 41.07
  4. Step 4: Simplify right side
    47.96x = 2,715.86
  5. Step 5: Solve for x
    x = 2,715.86/47.96
  6. Step 6: Final answer
    x = 56.63

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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.