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Finding the Fourth Proportional to 81.93, 122.90 and 30.59

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Solution

The fourth proportional to 81.93, 122.90 and 30.59 is: 45.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.93 : 122.90 = 30.59 : x
  2. Step 2: Convert to fraction form
    81.93/122.90 = 30.59/x
  3. Step 3: Cross multiply
    81.93x = 122.90 × 30.59
  4. Step 4: Simplify right side
    81.93x = 3,758.74
  5. Step 5: Solve for x
    x = 3,758.74/81.93
  6. Step 6: Final answer
    x = 45.88

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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.