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Finding the Fourth Proportional to 73.53, 110.31 and 32.96

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Solution

The fourth proportional to 73.53, 110.31 and 32.96 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 110.31 = 32.96 : x
  2. Step 2: Convert to fraction form
    73.53/110.31 = 32.96/x
  3. Step 3: Cross multiply
    73.53x = 110.31 × 32.96
  4. Step 4: Simplify right side
    73.53x = 3,635.82
  5. Step 5: Solve for x
    x = 3,635.82/73.53
  6. Step 6: Final answer
    x = 49.45

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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.