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Finding the Fourth Proportional to 73.46, 110.23 and 32.92

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Solution

The fourth proportional to 73.46, 110.23 and 32.92 is: 49.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.46 : 110.23 = 32.92 : x
  2. Step 2: Convert to fraction form
    73.46/110.23 = 32.92/x
  3. Step 3: Cross multiply
    73.46x = 110.23 × 32.92
  4. Step 4: Simplify right side
    73.46x = 3,628.77
  5. Step 5: Solve for x
    x = 3,628.77/73.46
  6. Step 6: Final answer
    x = 49.40

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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.