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Finding the Fourth Proportional to 30.87, 46.28 and 11.61

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Solution

The fourth proportional to 30.87, 46.28 and 11.61 is: 17.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.87 : 46.28 = 11.61 : x
  2. Step 2: Convert to fraction form
    30.87/46.28 = 11.61/x
  3. Step 3: Cross multiply
    30.87x = 46.28 × 11.61
  4. Step 4: Simplify right side
    30.87x = 537.31
  5. Step 5: Solve for x
    x = 537.31/30.87
  6. Step 6: Final answer
    x = 17.41

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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.