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Finding the Fourth Proportional to 54.66, 81.90 and 31.76

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Solution

The fourth proportional to 54.66, 81.90 and 31.76 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 81.90 = 31.76 : x
  2. Step 2: Convert to fraction form
    54.66/81.90 = 31.76/x
  3. Step 3: Cross multiply
    54.66x = 81.90 × 31.76
  4. Step 4: Simplify right side
    54.66x = 2,600.73
  5. Step 5: Solve for x
    x = 2,600.73/54.66
  6. Step 6: Final answer
    x = 47.58

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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.