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Finding the Fourth Proportional to 73.47, 110.33 and 30.75

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Solution

The fourth proportional to 73.47, 110.33 and 30.75 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 110.33 = 30.75 : x
  2. Step 2: Convert to fraction form
    73.47/110.33 = 30.75/x
  3. Step 3: Cross multiply
    73.47x = 110.33 × 30.75
  4. Step 4: Simplify right side
    73.47x = 3,392.49
  5. Step 5: Solve for x
    x = 3,392.49/73.47
  6. Step 6: Final answer
    x = 46.18

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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.