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Finding the Fourth Proportional to 45.45, 68.18 and 15.02

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Solution

The fourth proportional to 45.45, 68.18 and 15.02 is: 22.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.45 : 68.18 = 15.02 : x
  2. Step 2: Convert to fraction form
    45.45/68.18 = 15.02/x
  3. Step 3: Cross multiply
    45.45x = 68.18 × 15.02
  4. Step 4: Simplify right side
    45.45x = 1,023.99
  5. Step 5: Solve for x
    x = 1,023.99/45.45
  6. Step 6: Final answer
    x = 22.53

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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.