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Finding the Fourth Proportional to 81.78, 122.64 and 30.42

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Solution

The fourth proportional to 81.78, 122.64 and 30.42 is: 45.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.78 : 122.64 = 30.42 : x
  2. Step 2: Convert to fraction form
    81.78/122.64 = 30.42/x
  3. Step 3: Cross multiply
    81.78x = 122.64 × 30.42
  4. Step 4: Simplify right side
    81.78x = 3,730.71
  5. Step 5: Solve for x
    x = 3,730.71/81.78
  6. Step 6: Final answer
    x = 45.62

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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.