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Finding the Fourth Proportional to 47.84, 71.77 and 20.78

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Solution

The fourth proportional to 47.84, 71.77 and 20.78 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.77 = 20.78 : x
  2. Step 2: Convert to fraction form
    47.84/71.77 = 20.78/x
  3. Step 3: Cross multiply
    47.84x = 71.77 × 20.78
  4. Step 4: Simplify right side
    47.84x = 1,491.38
  5. Step 5: Solve for x
    x = 1,491.38/47.84
  6. Step 6: Final answer
    x = 31.17

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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.