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Finding the Fourth Proportional to 45.61, 68.41 and 30.48

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Solution

The fourth proportional to 45.61, 68.41 and 30.48 is: 45.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.61 : 68.41 = 30.48 : x
  2. Step 2: Convert to fraction form
    45.61/68.41 = 30.48/x
  3. Step 3: Cross multiply
    45.61x = 68.41 × 30.48
  4. Step 4: Simplify right side
    45.61x = 2,085.14
  5. Step 5: Solve for x
    x = 2,085.14/45.61
  6. Step 6: Final answer
    x = 45.72

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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.