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Finding the Fourth Proportional to 45.22, 67.46 and 40.90

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Solution

The fourth proportional to 45.22, 67.46 and 40.90 is: 61.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.22 : 67.46 = 40.90 : x
  2. Step 2: Convert to fraction form
    45.22/67.46 = 40.90/x
  3. Step 3: Cross multiply
    45.22x = 67.46 × 40.90
  4. Step 4: Simplify right side
    45.22x = 2,759.11
  5. Step 5: Solve for x
    x = 2,759.11/45.22
  6. Step 6: Final answer
    x = 61.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.