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Finding the Fourth Proportional to 45.96, 68.96 and 30.76

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Solution

The fourth proportional to 45.96, 68.96 and 30.76 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.96 : 68.96 = 30.76 : x
  2. Step 2: Convert to fraction form
    45.96/68.96 = 30.76/x
  3. Step 3: Cross multiply
    45.96x = 68.96 × 30.76
  4. Step 4: Simplify right side
    45.96x = 2,121.21
  5. Step 5: Solve for x
    x = 2,121.21/45.96
  6. Step 6: Final answer
    x = 46.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.