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Finding the Fourth Proportional to 73.05, 109.64 and 29.74

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Solution

The fourth proportional to 73.05, 109.64 and 29.74 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 109.64 = 29.74 : x
  2. Step 2: Convert to fraction form
    73.05/109.64 = 29.74/x
  3. Step 3: Cross multiply
    73.05x = 109.64 × 29.74
  4. Step 4: Simplify right side
    73.05x = 3,260.62
  5. Step 5: Solve for x
    x = 3,260.62/73.05
  6. Step 6: Final answer
    x = 44.64

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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.