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Finding the Fourth Proportional to 73.05, 109.52 and 44.12

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Solution

The fourth proportional to 73.05, 109.52 and 44.12 is: 66.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.05 : 109.52 = 44.12 : x
  2. Step 2: Convert to fraction form
    73.05/109.52 = 44.12/x
  3. Step 3: Cross multiply
    73.05x = 109.52 × 44.12
  4. Step 4: Simplify right side
    73.05x = 4,831.25
  5. Step 5: Solve for x
    x = 4,831.25/73.05
  6. Step 6: Final answer
    x = 66.14

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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.