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Finding the Fourth Proportional to 54.50, 81.70 and 31.66

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Solution

The fourth proportional to 54.50, 81.70 and 31.66 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 81.70 = 31.66 : x
  2. Step 2: Convert to fraction form
    54.50/81.70 = 31.66/x
  3. Step 3: Cross multiply
    54.50x = 81.70 × 31.66
  4. Step 4: Simplify right side
    54.50x = 2,586.34
  5. Step 5: Solve for x
    x = 2,586.34/54.50
  6. Step 6: Final answer
    x = 47.46

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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.