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Finding the Fourth Proportional to 45.96, 69.02 and 32.54

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Solution

The fourth proportional to 45.96, 69.02 and 32.54 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.96 : 69.02 = 32.54 : x
  2. Step 2: Convert to fraction form
    45.96/69.02 = 32.54/x
  3. Step 3: Cross multiply
    45.96x = 69.02 × 32.54
  4. Step 4: Simplify right side
    45.96x = 2,245.40
  5. Step 5: Solve for x
    x = 2,245.40/45.96
  6. Step 6: Final answer
    x = 48.86

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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.