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Finding the Fourth Proportional to 54.83, 82.34 and 47.34

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Solution

The fourth proportional to 54.83, 82.34 and 47.34 is: 71.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.34 = 47.34 : x
  2. Step 2: Convert to fraction form
    54.83/82.34 = 47.34/x
  3. Step 3: Cross multiply
    54.83x = 82.34 × 47.34
  4. Step 4: Simplify right side
    54.83x = 3,897.74
  5. Step 5: Solve for x
    x = 3,897.74/54.83
  6. Step 6: Final answer
    x = 71.09

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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.