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Finding the Fourth Proportional to 73.57, 110.32 and 32.97

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Solution

The fourth proportional to 73.57, 110.32 and 32.97 is: 49.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.57 : 110.32 = 32.97 : x
  2. Step 2: Convert to fraction form
    73.57/110.32 = 32.97/x
  3. Step 3: Cross multiply
    73.57x = 110.32 × 32.97
  4. Step 4: Simplify right side
    73.57x = 3,637.25
  5. Step 5: Solve for x
    x = 3,637.25/73.57
  6. Step 6: Final answer
    x = 49.44

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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.