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Finding the Fourth Proportional to 27.85, 41.80 and 21.46

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Solution

The fourth proportional to 27.85, 41.80 and 21.46 is: 32.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.85 : 41.80 = 21.46 : x
  2. Step 2: Convert to fraction form
    27.85/41.80 = 21.46/x
  3. Step 3: Cross multiply
    27.85x = 41.80 × 21.46
  4. Step 4: Simplify right side
    27.85x = 897.03
  5. Step 5: Solve for x
    x = 897.03/27.85
  6. Step 6: Final answer
    x = 32.21

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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.