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Finding the Fourth Proportional to 54.91, 82 and 47.70

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Solution

The fourth proportional to 54.91, 82 and 47.70 is: 71.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.91 : 82 = 47.70 : x
  2. Step 2: Convert to fraction form
    54.91/82 = 47.70/x
  3. Step 3: Cross multiply
    54.91x = 82 × 47.70
  4. Step 4: Simplify right side
    54.91x = 3,911.40
  5. Step 5: Solve for x
    x = 3,911.40/54.91
  6. Step 6: Final answer
    x = 71.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.