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Finding the Fourth Proportional to 73.24, 109.82 and 32.70

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Solution

The fourth proportional to 73.24, 109.82 and 32.70 is: 49.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 109.82 = 32.70 : x
  2. Step 2: Convert to fraction form
    73.24/109.82 = 32.70/x
  3. Step 3: Cross multiply
    73.24x = 109.82 × 32.70
  4. Step 4: Simplify right side
    73.24x = 3,591.61
  5. Step 5: Solve for x
    x = 3,591.61/73.24
  6. Step 6: Final answer
    x = 49.04

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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.