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Finding the Fourth Proportional to 45.46, 68.03 and 39.12

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Solution

The fourth proportional to 45.46, 68.03 and 39.12 is: 58.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.46 : 68.03 = 39.12 : x
  2. Step 2: Convert to fraction form
    45.46/68.03 = 39.12/x
  3. Step 3: Cross multiply
    45.46x = 68.03 × 39.12
  4. Step 4: Simplify right side
    45.46x = 2,661.03
  5. Step 5: Solve for x
    x = 2,661.03/45.46
  6. Step 6: Final answer
    x = 58.53

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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.