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Finding the Fourth Proportional to 81.90, 123.03 and 45.84

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Solution

The fourth proportional to 81.90, 123.03 and 45.84 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.90 : 123.03 = 45.84 : x
  2. Step 2: Convert to fraction form
    81.90/123.03 = 45.84/x
  3. Step 3: Cross multiply
    81.90x = 123.03 × 45.84
  4. Step 4: Simplify right side
    81.90x = 5,639.70
  5. Step 5: Solve for x
    x = 5,639.70/81.90
  6. Step 6: Final answer
    x = 68.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.