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Finding the Fourth Proportional to 73.15, 109.66 and 34.64

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Solution

The fourth proportional to 73.15, 109.66 and 34.64 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.15 : 109.66 = 34.64 : x
  2. Step 2: Convert to fraction form
    73.15/109.66 = 34.64/x
  3. Step 3: Cross multiply
    73.15x = 109.66 × 34.64
  4. Step 4: Simplify right side
    73.15x = 3,797.90
  5. Step 5: Solve for x
    x = 3,797.90/73.15
  6. Step 6: Final answer
    x = 51.92

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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.