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Finding the Fourth Proportional to 73.54, 110.36 and 30.21

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Solution

The fourth proportional to 73.54, 110.36 and 30.21 is: 45.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 110.36 = 30.21 : x
  2. Step 2: Convert to fraction form
    73.54/110.36 = 30.21/x
  3. Step 3: Cross multiply
    73.54x = 110.36 × 30.21
  4. Step 4: Simplify right side
    73.54x = 3,334.09
  5. Step 5: Solve for x
    x = 3,334.09/73.54
  6. Step 6: Final answer
    x = 45.34

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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.