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Finding the Fourth Proportional to 73.74, 109.92 and 73.62

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Solution

The fourth proportional to 73.74, 109.92 and 73.62 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.74 : 109.92 = 73.62 : x
  2. Step 2: Convert to fraction form
    73.74/109.92 = 73.62/x
  3. Step 3: Cross multiply
    73.74x = 109.92 × 73.62
  4. Step 4: Simplify right side
    73.74x = 8,092.31
  5. Step 5: Solve for x
    x = 8,092.31/73.74
  6. Step 6: Final answer
    x = 109.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.