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Finding the Fourth Proportional to 73.78, 110.71 and 30.48

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Solution

The fourth proportional to 73.78, 110.71 and 30.48 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 110.71 = 30.48 : x
  2. Step 2: Convert to fraction form
    73.78/110.71 = 30.48/x
  3. Step 3: Cross multiply
    73.78x = 110.71 × 30.48
  4. Step 4: Simplify right side
    73.78x = 3,374.44
  5. Step 5: Solve for x
    x = 3,374.44/73.78
  6. Step 6: Final answer
    x = 45.74

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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.