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Finding the Fourth Proportional to 30.76, 46.02 and 23.44

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Solution

The fourth proportional to 30.76, 46.02 and 23.44 is: 35.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 46.02 = 23.44 : x
  2. Step 2: Convert to fraction form
    30.76/46.02 = 23.44/x
  3. Step 3: Cross multiply
    30.76x = 46.02 × 23.44
  4. Step 4: Simplify right side
    30.76x = 1,078.71
  5. Step 5: Solve for x
    x = 1,078.71/30.76
  6. Step 6: Final answer
    x = 35.07

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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.