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Finding the Fourth Proportional to 73.74, 110.67 and 31.02

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Solution

The fourth proportional to 73.74, 110.67 and 31.02 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 110.67 = 31.02 : x
  2. Step 2: Convert to fraction form
    73.74/110.67 = 31.02/x
  3. Step 3: Cross multiply
    73.74x = 110.67 × 31.02
  4. Step 4: Simplify right side
    73.74x = 3,432.98
  5. Step 5: Solve for x
    x = 3,432.98/73.74
  6. Step 6: Final answer
    x = 46.56

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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.