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Finding the Fourth Proportional to 73.50, 110.28 and 30.78

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Solution

The fourth proportional to 73.50, 110.28 and 30.78 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 110.28 = 30.78 : x
  2. Step 2: Convert to fraction form
    73.50/110.28 = 30.78/x
  3. Step 3: Cross multiply
    73.50x = 110.28 × 30.78
  4. Step 4: Simplify right side
    73.50x = 3,394.42
  5. Step 5: Solve for x
    x = 3,394.42/73.50
  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.