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Finding the Fourth Proportional to 47.86, 71.77 and 20.79

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Solution

The fourth proportional to 47.86, 71.77 and 20.79 is: 31.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.86 : 71.77 = 20.79 : x
  2. Step 2: Convert to fraction form
    47.86/71.77 = 20.79/x
  3. Step 3: Cross multiply
    47.86x = 71.77 × 20.79
  4. Step 4: Simplify right side
    47.86x = 1,492.10
  5. Step 5: Solve for x
    x = 1,492.10/47.86
  6. Step 6: Final answer
    x = 31.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.