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Finding the Fourth Proportional to 45.48, 68.12 and 22.67

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Solution

The fourth proportional to 45.48, 68.12 and 22.67 is: 33.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.48 : 68.12 = 22.67 : x
  2. Step 2: Convert to fraction form
    45.48/68.12 = 22.67/x
  3. Step 3: Cross multiply
    45.48x = 68.12 × 22.67
  4. Step 4: Simplify right side
    45.48x = 1,543.83
  5. Step 5: Solve for x
    x = 1,543.83/45.48
  6. Step 6: Final answer
    x = 33.95

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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.