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Finding the Fourth Proportional to 21.40, 32.00 and 13.77

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Solution

The fourth proportional to 21.40, 32.00 and 13.77 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 32.00 = 13.77 : x
  2. Step 2: Convert to fraction form
    21.40/32.00 = 13.77/x
  3. Step 3: Cross multiply
    21.40x = 32.00 × 13.77
  4. Step 4: Simplify right side
    21.40x = 440.57
  5. Step 5: Solve for x
    x = 440.57/21.40
  6. Step 6: Final answer
    x = 20.59

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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.